<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:0bf89ca9-85e4-457c-a26c-5f9a18cf58ed,g:dfe2c753-3b0f-4dd7-958d-011d2f524739-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.kestrel.bm/role/CONSOLIDATEDBALANCESHEETS" xlink:type="simple" xlink:href="kg-20251231.xsd#CONSOLIDATEDBALANCESHEETS"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/CONSOLIDATEDBALANCESHEETS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Investments_026295cd-d7c9-4fe9-8440-cb698c0bb22a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Investments"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_Investments_026295cd-d7c9-4fe9-8440-cb698c0bb22a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_3e457a25-4aa8-440e-bab7-9ca1874d2563" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_3e457a25-4aa8-440e-bab7-9ca1874d2563" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents_cea676a0-4b84-4728-b30c-7ab934cd1880" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalents_cea676a0-4b84-4728-b30c-7ab934cd1880" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedInvestmentIncomeReceivable_b7272bd6-6cf7-434f-bbea-32b07088681d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccruedInvestmentIncomeReceivable"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_AccruedInvestmentIncomeReceivable_b7272bd6-6cf7-434f-bbea-32b07088681d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsReceivableAtCarryingValue_e3d0bc8a-0332-4585-83cc-b96a410458c4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PremiumsReceivableAtCarryingValue"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_PremiumsReceivableAtCarryingValue_e3d0bc8a-0332-4585-83cc-b96a410458c4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_5a2dff46-14c3-40c0-9bcb-bf2738b36fa2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_5a2dff46-14c3-40c0-9bcb-bf2738b36fa2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LoansAndLeasesReceivableRelatedParties_38bd0b8c-5877-447a-9d45-bc2deb135665" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LoansAndLeasesReceivableRelatedParties"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_LoansAndLeasesReceivableRelatedParties_38bd0b8c-5877-447a-9d45-bc2deb135665" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetIncludingGoodwill_d4d41606-e022-4a4b-b223-d4e913673c88" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IntangibleAssetsNetIncludingGoodwill"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_IntangibleAssetsNetIncludingGoodwill_d4d41606-e022-4a4b-b223-d4e913673c88" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FundsHeldUnderReinsuranceAgreementsAsset_ab6c3e0b-43ff-4635-afb8-f7e96e4dbfc0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FundsHeldUnderReinsuranceAgreementsAsset"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_FundsHeldUnderReinsuranceAgreementsAsset_ab6c3e0b-43ff-4635-afb8-f7e96e4dbfc0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssets_8e44b99e-d782-4b2a-9d80-b7a36f53e53b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAssets"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_OtherAssets_8e44b99e-d782-4b2a-9d80-b7a36f53e53b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_e6b3f2d5-99a6-40f5-8373-11c4099d0d94" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_6b2fef45-08f0-4d78-b33d-9ca82f6ed497" xlink:to="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_e6b3f2d5-99a6-40f5-8373-11c4099d0d94" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_eb2d82f9-0315-4229-986f-a926bab6718d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_d637f8f1-8ce3-44ba-95dd-ca94cc398316" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_eb2d82f9-0315-4229-986f-a926bab6718d" xlink:to="loc_us-gaap_CommonStockValue_d637f8f1-8ce3-44ba-95dd-ca94cc398316" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_50664d14-2f59-44ac-b11d-e74602a65310" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_eb2d82f9-0315-4229-986f-a926bab6718d" xlink:to="loc_us-gaap_AdditionalPaidInCapital_50664d14-2f59-44ac-b11d-e74602a65310" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_46ed4f7a-ab70-4f07-b6ef-84cef8618657" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_eb2d82f9-0315-4229-986f-a926bab6718d" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_46ed4f7a-ab70-4f07-b6ef-84cef8618657" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_7ab76208-4c45-4fff-a1c1-5336fd467492" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_eb2d82f9-0315-4229-986f-a926bab6718d" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_7ab76208-4c45-4fff-a1c1-5336fd467492" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TreasuryStockCommonValue_2903b801-779f-4630-bf00-ccbb8d0d9a9f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TreasuryStockCommonValue"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_eb2d82f9-0315-4229-986f-a926bab6718d" xlink:to="loc_us-gaap_TreasuryStockCommonValue_2903b801-779f-4630-bf00-ccbb8d0d9a9f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_df08843a-81c8-4e53-ae85-0cfead2c6894" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebt"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount_629a0c81-106a-4bc8-bcd8-2781f7afc088" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_df08843a-81c8-4e53-ae85-0cfead2c6894" xlink:to="loc_us-gaap_DebtInstrumentCarryingAmount_629a0c81-106a-4bc8-bcd8-2781f7afc088" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNet_49b27662-12d9-4525-8ba9-38bd8d0a63c0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNet"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_df08843a-81c8-4e53-ae85-0cfead2c6894" xlink:to="loc_us-gaap_DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNet_49b27662-12d9-4525-8ba9-38bd8d0a63c0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_7faebcc0-2192-4fa6-90b0-e338a357fdf1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_d6e829c8-ccd1-44fb-a96b-56670a1122ca" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebt"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7faebcc0-2192-4fa6-90b0-e338a357fdf1" xlink:to="loc_us-gaap_LongTermDebt_d6e829c8-ccd1-44fb-a96b-56670a1122ca" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_1f7a0a8c-b9e8-4665-b0e6-55fe0e64e27f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7faebcc0-2192-4fa6-90b0-e338a357fdf1" xlink:to="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_1f7a0a8c-b9e8-4665-b0e6-55fe0e64e27f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnearnedPremiums_df818c1c-da93-40c6-ad7c-92f208cfc87b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnearnedPremiums"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7faebcc0-2192-4fa6-90b0-e338a357fdf1" xlink:to="loc_us-gaap_UnearnedPremiums_df818c1c-da93-40c6-ad7c-92f208cfc87b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesAndOtherLiabilities_bb13209b-a2d8-4447-8576-f58b1a80bc2c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccruedLiabilitiesAndOtherLiabilities"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7faebcc0-2192-4fa6-90b0-e338a357fdf1" xlink:to="loc_us-gaap_AccruedLiabilitiesAndOtherLiabilities_bb13209b-a2d8-4447-8576-f58b1a80bc2c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_d319033a-accf-4a7e-ae54-1754a2cf9e1a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7faebcc0-2192-4fa6-90b0-e338a357fdf1" xlink:to="loc_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_d319033a-accf-4a7e-ae54-1754a2cf9e1a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Investments_58a4bf21-70f6-46cd-940f-9559a43a64b9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Investments"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_2a0b06d1-35a5-47a5-9939-27da1ba95954" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Investments_58a4bf21-70f6-46cd-940f-9559a43a64b9" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_2a0b06d1-35a5-47a5-9939-27da1ba95954" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesFvNi_8d880ad4-60b1-46f1-aef5-4716accb68c9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesFvNi"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Investments_58a4bf21-70f6-46cd-940f-9559a43a64b9" xlink:to="loc_us-gaap_EquitySecuritiesFvNi_8d880ad4-60b1-46f1-aef5-4716accb68c9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_EquityMethodInvestmentsRecordedWithEquityMethod_11e9b5b2-4147-4eb1-8044-45b42936d948" xlink:href="kg-20251231.xsd#kg_EquityMethodInvestmentsRecordedWithEquityMethod"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Investments_58a4bf21-70f6-46cd-940f-9559a43a64b9" xlink:to="loc_kg_EquityMethodInvestmentsRecordedWithEquityMethod_11e9b5b2-4147-4eb1-8044-45b42936d948" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherInvestments_fd495a4a-d0f0-4214-b9e6-6d65693a2f30" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherInvestments"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Investments_58a4bf21-70f6-46cd-940f-9559a43a64b9" xlink:to="loc_us-gaap_OtherInvestments_fd495a4a-d0f0-4214-b9e6-6d65693a2f30" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_8ae7bcce-e377-4db9-bed4-b4e995735c7c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_67068f8b-9630-477f-a011-9edea4747936" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_8ae7bcce-e377-4db9-bed4-b4e995735c7c" xlink:to="loc_us-gaap_CommitmentsAndContingencies_67068f8b-9630-477f-a011-9edea4747936" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_f77c2bac-bfc9-41e9-88c9-dfcd063d19f2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_8ae7bcce-e377-4db9-bed4-b4e995735c7c" xlink:to="loc_us-gaap_Liabilities_f77c2bac-bfc9-41e9-88c9-dfcd063d19f2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_5e08c94e-d8e0-4723-9380-e3031260fce0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_8ae7bcce-e377-4db9-bed4-b4e995735c7c" xlink:to="loc_us-gaap_StockholdersEquity_5e08c94e-d8e0-4723-9380-e3031260fce0" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/CONSOLIDATEDSTATEMENTSOFINCOME" xlink:type="simple" xlink:href="kg-20251231.xsd#CONSOLIDATEDSTATEMENTSOFINCOME"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/CONSOLIDATEDSTATEMENTSOFINCOME" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsEarnedNet_24b21060-9b1e-4e52-822e-98b6a5b6a02e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PremiumsEarnedNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsWrittenNet_72204691-33d9-4c8c-98bd-9ed86a41fa02" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PremiumsWrittenNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsEarnedNet_24b21060-9b1e-4e52-822e-98b6a5b6a02e" xlink:to="loc_us-gaap_PremiumsWrittenNet_72204691-33d9-4c8c-98bd-9ed86a41fa02" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInUnearnedPremiumsNet_d2bb919b-2fe7-4141-b9bd-db5a26fa7813" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInUnearnedPremiumsNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsEarnedNet_24b21060-9b1e-4e52-822e-98b6a5b6a02e" xlink:to="loc_us-gaap_IncreaseDecreaseInUnearnedPremiumsNet_d2bb919b-2fe7-4141-b9bd-db5a26fa7813" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BenefitsLossesAndExpensesNet_af824ea8-dc53-48d4-8c79-23b2f85063b5" xlink:href="kg-20251231.xsd#kg_BenefitsLossesAndExpensesNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_41d273b8-a562-43d1-adc5-c581480a986a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PolicyholderBenefitsAndClaimsIncurredNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_BenefitsLossesAndExpensesNet_af824ea8-dc53-48d4-8c79-23b2f85063b5" xlink:to="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_41d273b8-a562-43d1-adc5-c581480a986a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_a6c0f193-cf4a-4cb7-853c-a02df281f207" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_BenefitsLossesAndExpensesNet_af824ea8-dc53-48d4-8c79-23b2f85063b5" xlink:to="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_a6c0f193-cf4a-4cb7-853c-a02df281f207" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeneralAndAdministrativeExpense_e3552a8f-f09f-4743-ac2a-c95076b97f92" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GeneralAndAdministrativeExpense"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_BenefitsLossesAndExpensesNet_af824ea8-dc53-48d4-8c79-23b2f85063b5" xlink:to="loc_us-gaap_GeneralAndAdministrativeExpense_e3552a8f-f09f-4743-ac2a-c95076b97f92" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_InterestAndAmortizationExpensesNet_b3621e03-d18c-41ff-8bec-373b65e73ae1" xlink:href="kg-20251231.xsd#kg_InterestAndAmortizationExpensesNet"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_BenefitsLossesAndExpensesNet_af824ea8-dc53-48d4-8c79-23b2f85063b5" xlink:to="loc_kg_InterestAndAmortizationExpensesNet_b3621e03-d18c-41ff-8bec-373b65e73ae1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount_1d5b1493-b265-4856-ae52-bb6b169c02a1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_BenefitsLossesAndExpensesNet_af824ea8-dc53-48d4-8c79-23b2f85063b5" xlink:to="loc_us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount_1d5b1493-b265-4856-ae52-bb6b169c02a1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_ForeignCurrencyTransactionandOtherGainLossbeforeTax_67b06919-ebf6-4f77-b2f7-82cae4c1a5a9" xlink:href="kg-20251231.xsd#kg_ForeignCurrencyTransactionandOtherGainLossbeforeTax"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_BenefitsLossesAndExpensesNet_af824ea8-dc53-48d4-8c79-23b2f85063b5" xlink:to="loc_kg_ForeignCurrencyTransactionandOtherGainLossbeforeTax_67b06919-ebf6-4f77-b2f7-82cae4c1a5a9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperations_019b0a6b-6385-742d-bc78-f2a92d82920f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_019b0a6b-6385-7418-8406-658b71072aec" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_019b0a6b-6385-742d-bc78-f2a92d82920f" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_019b0a6b-6385-7418-8406-658b71072aec" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_019b0a6b-6385-7298-9a86-96025c6a92b4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_019b0a6b-6385-742d-bc78-f2a92d82920f" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_019b0a6b-6385-7298-9a86-96025c6a92b4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_019b0a6b-6385-7430-a8a9-e0fb74daaa92" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromEquityMethodInvestments"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_019b0a6b-6385-742d-bc78-f2a92d82920f" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_019b0a6b-6385-7430-a8a9-e0fb74daaa92" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_5ab6c09d-681f-4486-863b-196a55099394" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Revenues_12e3cb8b-5198-45bc-aea7-2322984d9aed" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Revenues"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_5ab6c09d-681f-4486-863b-196a55099394" xlink:to="loc_us-gaap_Revenues_12e3cb8b-5198-45bc-aea7-2322984d9aed" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BenefitsLossesAndExpensesNet_e4ad3402-dbac-4f8a-95dc-2320d347aef2" xlink:href="kg-20251231.xsd#kg_BenefitsLossesAndExpensesNet"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_5ab6c09d-681f-4486-863b-196a55099394" xlink:to="loc_kg_BenefitsLossesAndExpensesNet_e4ad3402-dbac-4f8a-95dc-2320d347aef2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasic_c566b310-36a4-45d7-946b-384a293ff8b7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareBasic"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsPerBasicShare_77a4648e-e8de-4c70-934e-afd380900f60" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsPerBasicShare"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EarningsPerShareBasic_c566b310-36a4-45d7-946b-384a293ff8b7" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsPerBasicShare_77a4648e-e8de-4c70-934e-afd380900f60" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare_778d9c49-13b7-4847-b965-bd9a8d72f922" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EarningsPerShareBasic_c566b310-36a4-45d7-946b-384a293ff8b7" xlink:to="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare_778d9c49-13b7-4847-b965-bd9a8d72f922" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Revenues_821306da-0347-4717-8de5-d78067a1158c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Revenues"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsEarnedNet_cbb94b76-df24-4521-bc1d-2287fc56232b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PremiumsEarnedNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_821306da-0347-4717-8de5-d78067a1158c" xlink:to="loc_us-gaap_PremiumsEarnedNet_cbb94b76-df24-4521-bc1d-2287fc56232b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FeeIncome_d98eb3a8-78cd-4690-9a19-9a03b3de2084" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FeeIncome"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_821306da-0347-4717-8de5-d78067a1158c" xlink:to="loc_us-gaap_FeeIncome_d98eb3a8-78cd-4690-9a19-9a03b3de2084" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeNet_75c0e7d6-525c-44e5-82e9-b04332e0a754" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeNet"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_821306da-0347-4717-8de5-d78067a1158c" xlink:to="loc_us-gaap_InvestmentIncomeNet_75c0e7d6-525c-44e5-82e9-b04332e0a754" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnInvestments_d5f9976a-a7ba-49fb-bb4d-e8421af09e94" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GainLossOnInvestments"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_821306da-0347-4717-8de5-d78067a1158c" xlink:to="loc_us-gaap_GainLossOnInvestments_d5f9976a-a7ba-49fb-bb4d-e8421af09e94" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_2fda20ad-ba4a-49fe-9d69-e80268dac243" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperations_97e3eca6-a195-47e6-b34a-40a76a9e9404" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperations"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_2fda20ad-ba4a-49fe-9d69-e80268dac243" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperations_97e3eca6-a195-47e6-b34a-40a76a9e9404" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_4b9fabbb-7f72-4e72-84e9-88b38108d7a4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_2fda20ad-ba4a-49fe-9d69-e80268dac243" xlink:to="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_4b9fabbb-7f72-4e72-84e9-88b38108d7a4" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/CONSOLIDATEDSTATEMENTSOFCOMPREHENSIVEINCOME" xlink:type="simple" xlink:href="kg-20251231.xsd#CONSOLIDATEDSTATEMENTSOFCOMPREHENSIVEINCOME"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/CONSOLIDATEDSTATEMENTSOFCOMPREHENSIVEINCOME" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent_a3ca55b1-27d2-4b95-952b-ea030511eeda" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax_2b83c727-76e7-44c8-8b93-56d5e67101cf" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent_a3ca55b1-27d2-4b95-952b-ea030511eeda" xlink:to="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax_2b83c727-76e7-44c8-8b93-56d5e67101cf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_OCIDebtSecuritiesHeldForSaleUnrealizedHoldingGainLossBeforeAdjustmentAndTax_9e13cbd1-9cfe-45f6-9225-6a2197a0adc0" xlink:href="kg-20251231.xsd#kg_OCIDebtSecuritiesHeldForSaleUnrealizedHoldingGainLossBeforeAdjustmentAndTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent_a3ca55b1-27d2-4b95-952b-ea030511eeda" xlink:to="loc_kg_OCIDebtSecuritiesHeldForSaleUnrealizedHoldingGainLossBeforeAdjustmentAndTax_9e13cbd1-9cfe-45f6-9225-6a2197a0adc0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentBeforeTaxPortionAttributableToParent_a90ba83a-a786-4d67-9a63-a355d346f008" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentBeforeTaxPortionAttributableToParent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent_a3ca55b1-27d2-4b95-952b-ea030511eeda" xlink:to="loc_us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentBeforeTaxPortionAttributableToParent_a90ba83a-a786-4d67-9a63-a355d346f008" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_783ba4bc-e716-488e-9616-9324d57a5002" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_8fdadc47-d87b-4335-87da-7904042c09c8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_783ba4bc-e716-488e-9616-9324d57a5002" xlink:to="loc_us-gaap_NetIncomeLoss_8fdadc47-d87b-4335-87da-7904042c09c8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_5e3a61c4-d15a-4acd-be54-344d280f873e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_783ba4bc-e716-488e-9616-9324d57a5002" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_5e3a61c4-d15a-4acd-be54-344d280f873e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_09dc9a32-afcb-401a-9553-651cbc56a781" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent_449b37c1-ea00-4396-a94b-166b61f8b257" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_09dc9a32-afcb-401a-9553-651cbc56a781" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent_449b37c1-ea00-4396-a94b-166b61f8b257" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1_d3df6765-0ab5-4ad0-8bce-5caf1680174d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_09dc9a32-afcb-401a-9553-651cbc56a781" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1_d3df6765-0ab5-4ad0-8bce-5caf1680174d" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWS" xlink:type="simple" xlink:href="kg-20251231.xsd#CONSOLIDATEDSTATEMENTSOFCASHFLOWS"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_f1dea3ab-2062-47dd-9626-cd9e06c979dd" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividendsCommonStock_e2f92e82-6b93-4245-ab7b-458bc1db1b7a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfDividendsCommonStock"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_f1dea3ab-2062-47dd-9626-cd9e06c979dd" xlink:to="loc_us-gaap_PaymentsOfDividendsCommonStock_e2f92e82-6b93-4245-ab7b-458bc1db1b7a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_206a147e-ea6b-4540-86c6-ff62323bdd9c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_IncreaseDecreaseInCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsHeldForSale_b2fcb36f-cb1d-4931-9da8-fc37c4fb5955" xlink:href="kg-20251231.xsd#kg_IncreaseDecreaseInCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsHeldForSale"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_206a147e-ea6b-4540-86c6-ff62323bdd9c" xlink:to="loc_kg_IncreaseDecreaseInCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsHeldForSale_b2fcb36f-cb1d-4931-9da8-fc37c4fb5955" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_1393a716-46ab-4ffd-a7d9-bdbfb776bc17" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_206a147e-ea6b-4540-86c6-ff62323bdd9c" xlink:to="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_1393a716-46ab-4ffd-a7d9-bdbfb776bc17" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_f7008066-8b80-4578-80a3-79393104cb4d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d2193445-8672-4a74-acb5-0cce954f2185" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_f7008066-8b80-4578-80a3-79393104cb4d" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d2193445-8672-4a74-acb5-0cce954f2185" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_87dba35f-a824-43ca-a8e2-43e896a35bdb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_f7008066-8b80-4578-80a3-79393104cb4d" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_87dba35f-a824-43ca-a8e2-43e896a35bdb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_a00a054c-9a11-494b-91fd-e061018bc591" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_f7008066-8b80-4578-80a3-79393104cb4d" xlink:to="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_a00a054c-9a11-494b-91fd-e061018bc591" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_343a5fbc-f144-4698-9eab-9776d72fa97b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_f7008066-8b80-4578-80a3-79393104cb4d" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_343a5fbc-f144-4698-9eab-9776d72fa97b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_aec9a158-5333-4735-9a07-363d287d8adc" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_07b1ad32-9fdf-415f-b66e-95ae4249359a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_aec9a158-5333-4735-9a07-363d287d8adc" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_07b1ad32-9fdf-415f-b66e-95ae4249359a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashProvidedByUsedInOperatingActivitiesDiscontinuedOperations_2c628e73-cc66-4852-87c1-d49aed67760d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashProvidedByUsedInOperatingActivitiesDiscontinuedOperations"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_aec9a158-5333-4735-9a07-363d287d8adc" xlink:to="loc_us-gaap_CashProvidedByUsedInOperatingActivitiesDiscontinuedOperations_2c628e73-cc66-4852-87c1-d49aed67760d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_6070e0a3-1ebe-49fc-82a5-bd9f03a7ef93" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_72747bdc-f922-42d9-a3b2-e4950f0f0d06" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_6070e0a3-1ebe-49fc-82a5-bd9f03a7ef93" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_72747bdc-f922-42d9-a3b2-e4950f0f0d06" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents_736725e4-10c8-45b1-a261-0ced1753de90" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_6070e0a3-1ebe-49fc-82a5-bd9f03a7ef93" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalents_736725e4-10c8-45b1-a261-0ced1753de90" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireMarketableSecurities_cb139017-09f9-4d73-861f-c8753700353a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquireMarketableSecurities"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:to="loc_us-gaap_PaymentsToAcquireMarketableSecurities_cb139017-09f9-4d73-861f-c8753700353a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireOtherInvestments_c9a2a7bb-9faf-40dc-b2fc-373fc706fdc8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquireOtherInvestments"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:to="loc_us-gaap_PaymentsToAcquireOtherInvestments_c9a2a7bb-9faf-40dc-b2fc-373fc706fdc8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireEquityMethodInvestments_ec33d5e5-6923-4cbc-b030-939960a1cdb6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquireEquityMethodInvestments"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:to="loc_us-gaap_PaymentsToAcquireEquityMethodInvestments_ec33d5e5-6923-4cbc-b030-939960a1cdb6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_2cab396d-bdc0-4d7c-95d4-49c688baf860" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:to="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_2cab396d-bdc0-4d7c-95d4-49c688baf860" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_ProceedsFromMaturitiesPrepaymentsAndCallsOfDebtSecuritiesInvestingActivities_95a91fee-e47f-4633-a5a2-843c64ea0474" xlink:href="kg-20251231.xsd#kg_ProceedsFromMaturitiesPrepaymentsAndCallsOfDebtSecuritiesInvestingActivities"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:to="loc_kg_ProceedsFromMaturitiesPrepaymentsAndCallsOfDebtSecuritiesInvestingActivities_95a91fee-e47f-4633-a5a2-843c64ea0474" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleAndMaturityOfOtherInvestments_b73cfded-ceed-4eb2-9031-c30d626f7ed9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromSaleAndMaturityOfOtherInvestments"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:to="loc_us-gaap_ProceedsFromSaleAndMaturityOfOtherInvestments_b73cfded-ceed-4eb2-9031-c30d626f7ed9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAcquiredFromAcquisition_68287a43-1940-44f7-8997-22f315f1b9a5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAcquiredFromAcquisition"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:to="loc_us-gaap_CashAcquiredFromAcquisition_68287a43-1940-44f7-8997-22f315f1b9a5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForProceedsFromLoansReceivable_ce4d21f1-9e08-4d66-a3aa-3976195d3442" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForProceedsFromLoansReceivable"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:to="loc_us-gaap_PaymentsForProceedsFromLoansReceivable_ce4d21f1-9e08-4d66-a3aa-3976195d3442" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_019c58d1-31c4-76d7-8534-9c365ccf4be3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForProceedsFromOtherInvestingActivities"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_4bb0c320-1387-421b-87f5-f3ba46a22329" xlink:to="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_019c58d1-31c4-76d7-8534-9c365ccf4be3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019bbeab-c336-7f2f-aaa6-6c3bdc966406" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_NetIncomeLoss_019bbeab-c336-7f2f-aaa6-6c3bdc966406" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax_019bbeab-c336-799a-96ef-9f1be4c17adf" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax_019bbeab-c336-799a-96ef-9f1be4c17adf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationAmortizationAndAccretionNet_019bbeab-c336-7fc7-8dc0-3cad38e44b0b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DepreciationAmortizationAndAccretionNet"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_DepreciationAmortizationAndAccretionNet_019bbeab-c336-7fc7-8dc0-3cad38e44b0b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_019bbeab-c336-7c44-8b1b-9ca3008f9469" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromEquityMethodInvestments"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_019bbeab-c336-7c44-8b1b-9ca3008f9469" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnInvestments_019bbeab-c336-7bce-a7bc-d0373e08680c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GainLossOnInvestments"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_GainLossOnInvestments_019bbeab-c336-7bce-a7bc-d0373e08680c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount_019bbeab-c336-7271-af67-692c0df97a81" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount_019bbeab-c336-7271-af67-692c0df97a81" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_ForeignCurrencyTransactionandOtherGainLossbeforeTax_019bbeab-c336-7751-937b-970c5135d603" xlink:href="kg-20251231.xsd#kg_ForeignCurrencyTransactionandOtherGainLossbeforeTax"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_kg_ForeignCurrencyTransactionandOtherGainLossbeforeTax_019bbeab-c336-7751-937b-970c5135d603" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPremiumsReceivable_019bbeab-c336-702a-931c-79b93308dd70" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInPremiumsReceivable"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncreaseDecreaseInPremiumsReceivable_019bbeab-c336-702a-931c-79b93308dd70" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInReinsuranceRecoverable_019bbeab-c336-714e-a4fd-f2818558d64f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInReinsuranceRecoverable"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncreaseDecreaseInReinsuranceRecoverable_019bbeab-c336-714e-a4fd-f2818558d64f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedInvestmentIncomeReceivable_019bbeab-c336-7f18-96b2-01c8eb1014fb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedInvestmentIncomeReceivable"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedInvestmentIncomeReceivable_019bbeab-c336-7f18-96b2-01c8eb1014fb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInFundsHeldUnderReinsuranceAgreements_019bbeab-c336-7934-ba24-119c62ecdf42" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInFundsHeldUnderReinsuranceAgreements"/>
    <link:calculationArc order="11" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncreaseDecreaseInFundsHeldUnderReinsuranceAgreements_019bbeab-c336-7934-ba24-119c62ecdf42" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_019bbeab-c336-752c-9658-37b8c2c121a1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOtherOperatingAssets"/>
    <link:calculationArc order="12" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_019bbeab-c336-752c-9658-37b8c2c121a1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve_019bbeab-c336-7b81-be62-5b62c4c62535" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve"/>
    <link:calculationArc order="13" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve_019bbeab-c336-7b81-be62-5b62c4c62535" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInUnearnedPremiums_019bbeab-c336-7cbf-a266-5cd06e4be172" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInUnearnedPremiums"/>
    <link:calculationArc order="14" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncreaseDecreaseInUnearnedPremiums_019bbeab-c336-7cbf-a266-5cd06e4be172" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_019bbeab-c336-7f95-9fcb-0daac67f3d0c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities"/>
    <link:calculationArc order="15" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations_019bbeab-c336-7ce7-95c6-ff4f85b31d89" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_019bbeab-c336-7f95-9fcb-0daac67f3d0c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/SignificantAccountingPoliciesScheduleofDepreciableFixedAssetsDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#SignificantAccountingPoliciesScheduleofDepreciableFixedAssetsDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/SignificantAccountingPoliciesScheduleofDepreciableFixedAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_a378f4e9-2359-466c-85e6-5c54b6d16bf9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross_35b93bd6-d592-4984-99ef-dd0e9607bfb7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentNet_a378f4e9-2359-466c-85e6-5c54b6d16bf9" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentGross_35b93bd6-d592-4984-99ef-dd0e9607bfb7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_a72101a4-89c6-4558-82f2-1882a13b2ea5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentNet_a378f4e9-2359-466c-85e6-5c54b6d16bf9" xlink:to="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_a72101a4-89c6-4558-82f2-1882a13b2ea5" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/SegmentInformationScheduleofReconciliationofReportableSegmentsUnderwritingResultstoConsolidatedNetIncomeDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#SegmentInformationScheduleofReconciliationofReportableSegmentsUnderwritingResultstoConsolidatedNetIncomeDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/SegmentInformationScheduleofReconciliationofReportableSegmentsUnderwritingResultstoConsolidatedNetIncomeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_kg_UnderwritingIncomeLossNet_1b131ee5-c8cb-4dc5-93df-ae848e553f34" xlink:href="kg-20251231.xsd#kg_UnderwritingIncomeLossNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsEarnedNet_7c7a3364-614c-48db-ab61-a000f319fe9b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PremiumsEarnedNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_UnderwritingIncomeLossNet_1b131ee5-c8cb-4dc5-93df-ae848e553f34" xlink:to="loc_us-gaap_PremiumsEarnedNet_7c7a3364-614c-48db-ab61-a000f319fe9b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FeeIncome_574a763d-52a6-461f-88fe-94013778f728" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FeeIncome"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_UnderwritingIncomeLossNet_1b131ee5-c8cb-4dc5-93df-ae848e553f34" xlink:to="loc_us-gaap_FeeIncome_574a763d-52a6-461f-88fe-94013778f728" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_0d3cce5c-4c5c-4f92-8333-12ce0489bedb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PolicyholderBenefitsAndClaimsIncurredNet"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_UnderwritingIncomeLossNet_1b131ee5-c8cb-4dc5-93df-ae848e553f34" xlink:to="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_0d3cce5c-4c5c-4f92-8333-12ce0489bedb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_ab1d408b-c11a-4e5c-8951-66059b35324f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_UnderwritingIncomeLossNet_1b131ee5-c8cb-4dc5-93df-ae848e553f34" xlink:to="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_ab1d408b-c11a-4e5c-8951-66059b35324f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_b45506f0-8bf9-482b-95b3-aadb06b5b486" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingExpenses"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_UnderwritingIncomeLossNet_1b131ee5-c8cb-4dc5-93df-ae848e553f34" xlink:to="loc_us-gaap_OperatingExpenses_b45506f0-8bf9-482b-95b3-aadb06b5b486" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperations_914de815-6e0c-422a-aafc-e42b0cbbfff0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_UnderwritingIncomeLossNet_4b0537a3-4062-4945-b644-5378aefe6e81" xlink:href="kg-20251231.xsd#kg_UnderwritingIncomeLossNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_914de815-6e0c-422a-aafc-e42b0cbbfff0" xlink:to="loc_kg_UnderwritingIncomeLossNet_4b0537a3-4062-4945-b644-5378aefe6e81" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_InvestmentIncomeAndGainLossOnInvestmentsNet_98ed1a2d-be8b-4dc7-922a-c7a3bbd3c514" xlink:href="kg-20251231.xsd#kg_InvestmentIncomeAndGainLossOnInvestmentsNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_914de815-6e0c-422a-aafc-e42b0cbbfff0" xlink:to="loc_kg_InvestmentIncomeAndGainLossOnInvestmentsNet_98ed1a2d-be8b-4dc7-922a-c7a3bbd3c514" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_InterestAndAmortizationExpensesNet_84f48e9c-ea10-473d-bafe-f8d9c77e7741" xlink:href="kg-20251231.xsd#kg_InterestAndAmortizationExpensesNet"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_914de815-6e0c-422a-aafc-e42b0cbbfff0" xlink:to="loc_kg_InterestAndAmortizationExpensesNet_84f48e9c-ea10-473d-bafe-f8d9c77e7741" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount_b8e8f1d2-8374-429e-9dd1-798a96f213fb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_914de815-6e0c-422a-aafc-e42b0cbbfff0" xlink:to="loc_us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount_b8e8f1d2-8374-429e-9dd1-798a96f213fb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_ForeignCurrencyTransactionandOtherGainLossbeforeTax_d676a618-bc79-42e8-826b-410e8cda2f1e" xlink:href="kg-20251231.xsd#kg_ForeignCurrencyTransactionandOtherGainLossbeforeTax"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_914de815-6e0c-422a-aafc-e42b0cbbfff0" xlink:to="loc_kg_ForeignCurrencyTransactionandOtherGainLossbeforeTax_d676a618-bc79-42e8-826b-410e8cda2f1e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherGeneralAndAdministrativeExpense_b1d4e02c-6eef-4d05-b5c8-36e830062c45" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherGeneralAndAdministrativeExpense"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_914de815-6e0c-422a-aafc-e42b0cbbfff0" xlink:to="loc_us-gaap_OtherGeneralAndAdministrativeExpense_b1d4e02c-6eef-4d05-b5c8-36e830062c45" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_1661cfab-6e63-490c-8eee-d08f8b0ce6f7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_914de815-6e0c-422a-aafc-e42b0cbbfff0" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_1661cfab-6e63-490c-8eee-d08f8b0ce6f7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_afa2b613-0af0-4b87-aa8a-70acdfdfbdb1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromEquityMethodInvestments"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_914de815-6e0c-422a-aafc-e42b0cbbfff0" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_afa2b613-0af0-4b87-aa8a-70acdfdfbdb1" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/InvestmentsScheduleofAmortizedCostGrossUnrealizedGainsandLossesandFairValueonFixedMaturitiesDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#InvestmentsScheduleofAmortizedCostGrossUnrealizedGainsandLossesandFairValueonFixedMaturitiesDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/InvestmentsScheduleofAmortizedCostGrossUnrealizedGainsandLossesandFairValueonFixedMaturitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019b0101-b6d5-7d6d-b9df-fd2d45acde2c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019b0101-b6d5-7e64-86de-8b3cb8dd44e0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019b0101-b6d5-7d6d-b9df-fd2d45acde2c" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019b0101-b6d5-7e64-86de-8b3cb8dd44e0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_019b0101-b6d5-7bfe-9493-00b822c110aa" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019b0101-b6d5-7d6d-b9df-fd2d45acde2c" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_019b0101-b6d5-7bfe-9493-00b822c110aa" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_019b0101-b6d5-75a2-9414-e693c590d7b7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019b0101-b6d5-7d6d-b9df-fd2d45acde2c" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_019b0101-b6d5-75a2-9414-e693c590d7b7" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/InvestmentsScheduleofContractualMaturitiesofFixedMaturitiesDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#InvestmentsScheduleofContractualMaturitiesofFixedMaturitiesDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/InvestmentsScheduleofContractualMaturitiesofFixedMaturitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019b0101-b6d5-79da-9cb6-a22fd42e60b0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_019b0101-b6d5-7d62-aa64-4a510d50b340" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019b0101-b6d5-79da-9cb6-a22fd42e60b0" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_019b0101-b6d5-7d62-aa64-4a510d50b340" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_019b0101-b6d5-78ed-92e0-bbbf8946e925" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019b0101-b6d5-79da-9cb6-a22fd42e60b0" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_019b0101-b6d5-78ed-92e0-bbbf8946e925" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019b0101-b6d5-7da7-a7a1-51e738ba70fe" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_019b0101-b6d5-76e7-bb23-74767e37bf4d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019b0101-b6d5-7da7-a7a1-51e738ba70fe" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_019b0101-b6d5-76e7-bb23-74767e37bf4d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_019b0101-b6d5-7caf-8e37-b6eaf7d29f95" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019b0101-b6d5-7da7-a7a1-51e738ba70fe" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_019b0101-b6d5-7caf-8e37-b6eaf7d29f95" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_019b0101-b6d5-77c4-969a-35fcd3ad3804" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019b0101-b6d5-7da7-a7a1-51e738ba70fe" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_019b0101-b6d5-77c4-969a-35fcd3ad3804" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_019b0101-b6d5-7989-934a-f1c15502e6f7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_019b0101-b6d5-73e5-b499-d3731a469e76" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_019b0101-b6d5-7989-934a-f1c15502e6f7" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_019b0101-b6d5-73e5-b499-d3731a469e76" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_019b0101-b6d5-7090-a54b-2d3d39fc8521" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_019b0101-b6d5-7989-934a-f1c15502e6f7" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_019b0101-b6d5-7090-a54b-2d3d39fc8521" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_019b0101-b6d5-7400-9893-bb4017181f6c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_019b0101-b6d5-7989-934a-f1c15502e6f7" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_019b0101-b6d5-7400-9893-bb4017181f6c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019b0101-b6d5-7285-a847-237e5781c9e1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019b0101-b6d5-7865-a5c1-633736d4afce" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019b0101-b6d5-7285-a847-237e5781c9e1" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019b0101-b6d5-7865-a5c1-633736d4afce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_019b0101-b6d5-78fa-a9f5-942e7b3e9969" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_019b0101-b6d5-7285-a847-237e5781c9e1" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_019b0101-b6d5-78fa-a9f5-942e7b3e9969" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/InvestmentsScheduleofFixedMaturitiesinanUnrealizedLossPositionandAggregateFairValueDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#InvestmentsScheduleofFixedMaturitiesinanUnrealizedLossPositionandAggregateFairValueDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/InvestmentsScheduleofFixedMaturitiesinanUnrealizedLossPositionandAggregateFairValueDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionAccumulatedLoss_019b0101-b6d5-7e36-9e5b-ebb98ca127b6" xlink:href="kg-20251231.xsd#kg_FixedMaturitiesContinuousUnrealizedLossPositionAccumulatedLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionLessthan12MonthsAccumulatedLoss_019b0101-b6d5-7e76-903a-86e8ce33df8f" xlink:href="kg-20251231.xsd#kg_FixedMaturitiesContinuousUnrealizedLossPositionLessthan12MonthsAccumulatedLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionAccumulatedLoss_019b0101-b6d5-7e36-9e5b-ebb98ca127b6" xlink:to="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionLessthan12MonthsAccumulatedLoss_019b0101-b6d5-7e76-903a-86e8ce33df8f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_FixedMaturitiesContinuousUnrealizedLossPosition12MonthsorLongerAccumulatedLoss_019b0101-b6d5-78c1-afe7-858340a5d272" xlink:href="kg-20251231.xsd#kg_FixedMaturitiesContinuousUnrealizedLossPosition12MonthsorLongerAccumulatedLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionAccumulatedLoss_019b0101-b6d5-7e36-9e5b-ebb98ca127b6" xlink:to="loc_kg_FixedMaturitiesContinuousUnrealizedLossPosition12MonthsorLongerAccumulatedLoss_019b0101-b6d5-78c1-afe7-858340a5d272" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionFairValue_019b0101-b6d5-7416-b8f4-8003a9671810" xlink:href="kg-20251231.xsd#kg_FixedMaturitiesContinuousUnrealizedLossPositionFairValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionLessthanTwelveMonthsFairValue_019b0101-b6d5-7272-af9a-587a788d94be" xlink:href="kg-20251231.xsd#kg_FixedMaturitiesContinuousUnrealizedLossPositionLessthanTwelveMonthsFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionFairValue_019b0101-b6d5-7416-b8f4-8003a9671810" xlink:to="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionLessthanTwelveMonthsFairValue_019b0101-b6d5-7272-af9a-587a788d94be" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionTwelveMonthsorLongerFairValue_019b0101-b6d5-7245-9dee-be235458240b" xlink:href="kg-20251231.xsd#kg_FixedMaturitiesContinuousUnrealizedLossPositionTwelveMonthsorLongerFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionFairValue_019b0101-b6d5-7416-b8f4-8003a9671810" xlink:to="loc_kg_FixedMaturitiesContinuousUnrealizedLossPositionTwelveMonthsorLongerFairValue_019b0101-b6d5-7245-9dee-be235458240b" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/InvestmentsScheduleofNetInvestmentIncomeDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#InvestmentsScheduleofNetInvestmentIncomeDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/InvestmentsScheduleofNetInvestmentIncomeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeNet_019b0101-b6d5-78b5-a5bb-44e52d33888b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeInterestAndDividend_019b0101-b6d5-73d6-a13f-f8a126931ec5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInterestAndDividend"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentIncomeNet_019b0101-b6d5-78b5-a5bb-44e52d33888b" xlink:to="loc_us-gaap_InvestmentIncomeInterestAndDividend_019b0101-b6d5-73d6-a13f-f8a126931ec5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeInvestmentExpense_019b0101-b6d6-7552-a36e-654dfbbe75fb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInvestmentExpense"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentIncomeNet_019b0101-b6d5-78b5-a5bb-44e52d33888b" xlink:to="loc_us-gaap_InvestmentIncomeInvestmentExpense_019b0101-b6d6-7552-a36e-654dfbbe75fb" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/InvestmentsScheduleofNetRealizedandUnrealizedInvestmentGainsLossesDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#InvestmentsScheduleofNetRealizedandUnrealizedInvestmentGainsLossesDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/InvestmentsScheduleofNetRealizedandUnrealizedInvestmentGainsLossesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_kg_GainLossOnOtherSecuritiesExcludingDebtAndEquitySecurities_019b0101-b6d6-71d1-8c02-7b3118a1297c" xlink:href="kg-20251231.xsd#kg_GainLossOnOtherSecuritiesExcludingDebtAndEquitySecurities"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_MarketableSecuritiesRealizedGain_019b0101-b6d6-79b0-b8b2-a0866a536e16" xlink:href="kg-20251231.xsd#kg_MarketableSecuritiesRealizedGain"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_GainLossOnOtherSecuritiesExcludingDebtAndEquitySecurities_019b0101-b6d6-71d1-8c02-7b3118a1297c" xlink:to="loc_kg_MarketableSecuritiesRealizedGain_019b0101-b6d6-79b0-b8b2-a0866a536e16" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_MarketableSecuritiesRealizedLoss_019b0101-b6d6-79a4-b0ca-f756d901de7a" xlink:href="kg-20251231.xsd#kg_MarketableSecuritiesRealizedLoss"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_GainLossOnOtherSecuritiesExcludingDebtAndEquitySecurities_019b0101-b6d6-71d1-8c02-7b3118a1297c" xlink:to="loc_kg_MarketableSecuritiesRealizedLoss_019b0101-b6d6-79a4-b0ca-f756d901de7a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesFvNiGainLoss_019b0101-b6d6-7326-ae9b-0b651a0cdb31" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesFvNiGainLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_EquitySecuritiesFVNIRealizedAndUnrealizedLoss_019b0101-b6d6-70b0-93f4-6785bfdf6d3a" xlink:href="kg-20251231.xsd#kg_EquitySecuritiesFVNIRealizedAndUnrealizedLoss"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EquitySecuritiesFvNiGainLoss_019b0101-b6d6-7326-ae9b-0b651a0cdb31" xlink:to="loc_kg_EquitySecuritiesFVNIRealizedAndUnrealizedLoss_019b0101-b6d6-70b0-93f4-6785bfdf6d3a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_EquitySecuritiesFVNIRealizedAndUnrealizedGain_019b0101-b6d6-76a6-919d-eb58c0f0c2e4" xlink:href="kg-20251231.xsd#kg_EquitySecuritiesFVNIRealizedAndUnrealizedGain"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EquitySecuritiesFvNiGainLoss_019b0101-b6d6-7326-ae9b-0b651a0cdb31" xlink:to="loc_kg_EquitySecuritiesFVNIRealizedAndUnrealizedGain_019b0101-b6d6-76a6-919d-eb58c0f0c2e4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnInvestments_019b0101-b6d6-7419-95dc-5cc56138962a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GainLossOnInvestments"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesFvNiGainLoss_019b0101-b6d6-7ffe-91cd-e7032942b150" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesFvNiGainLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GainLossOnInvestments_019b0101-b6d6-7419-95dc-5cc56138962a" xlink:to="loc_us-gaap_EquitySecuritiesFvNiGainLoss_019b0101-b6d6-7ffe-91cd-e7032942b150" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_GainLossOnOtherSecuritiesExcludingDebtAndEquitySecurities_019b0101-b6d6-7316-8037-79ebc586eaab" xlink:href="kg-20251231.xsd#kg_GainLossOnOtherSecuritiesExcludingDebtAndEquitySecurities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GainLossOnInvestments_019b0101-b6d6-7419-95dc-5cc56138962a" xlink:to="loc_kg_GainLossOnOtherSecuritiesExcludingDebtAndEquitySecurities_019b0101-b6d6-7316-8037-79ebc586eaab" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_019b0101-b6d6-7c1b-9ad6-d561f046b451" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GainLossOnInvestments_019b0101-b6d6-7419-95dc-5cc56138962a" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_019b0101-b6d6-7c1b-9ad6-d561f046b451" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_RealizedAndUnrealizedLossOnInvestments_019b0101-b6d6-7564-9bb4-14f1a88c3aab" xlink:href="kg-20251231.xsd#kg_RealizedAndUnrealizedLossOnInvestments"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_MarketableSecuritiesRealizedLoss_019b0101-b6d6-7ef8-bbc8-34c5d18b5eeb" xlink:href="kg-20251231.xsd#kg_MarketableSecuritiesRealizedLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_RealizedAndUnrealizedLossOnInvestments_019b0101-b6d6-7564-9bb4-14f1a88c3aab" xlink:to="loc_kg_MarketableSecuritiesRealizedLoss_019b0101-b6d6-7ef8-bbc8-34c5d18b5eeb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedLoss_019b0101-b6d6-7a8c-ac01-166552d81477" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_RealizedAndUnrealizedLossOnInvestments_019b0101-b6d6-7564-9bb4-14f1a88c3aab" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedLoss_019b0101-b6d6-7a8c-ac01-166552d81477" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_EquitySecuritiesFVNIRealizedAndUnrealizedLoss_019b0101-b6d6-77dd-ba73-df2c402aff96" xlink:href="kg-20251231.xsd#kg_EquitySecuritiesFVNIRealizedAndUnrealizedLoss"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_RealizedAndUnrealizedLossOnInvestments_019b0101-b6d6-7564-9bb4-14f1a88c3aab" xlink:to="loc_kg_EquitySecuritiesFVNIRealizedAndUnrealizedLoss_019b0101-b6d6-77dd-ba73-df2c402aff96" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_RealizedAndUnrealizedGainOnInvestments_019b0101-b6d6-7c00-a0bb-3b140f6fdfef" xlink:href="kg-20251231.xsd#kg_RealizedAndUnrealizedGainOnInvestments"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_MarketableSecuritiesRealizedGain_019b0101-b6d6-763f-b2d6-849f71665481" xlink:href="kg-20251231.xsd#kg_MarketableSecuritiesRealizedGain"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_RealizedAndUnrealizedGainOnInvestments_019b0101-b6d6-7c00-a0bb-3b140f6fdfef" xlink:to="loc_kg_MarketableSecuritiesRealizedGain_019b0101-b6d6-763f-b2d6-849f71665481" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGain_019b0101-b6d6-7767-a2ce-030abcf886d5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedGain"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_RealizedAndUnrealizedGainOnInvestments_019b0101-b6d6-7c00-a0bb-3b140f6fdfef" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGain_019b0101-b6d6-7767-a2ce-030abcf886d5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_EquitySecuritiesFVNIRealizedAndUnrealizedGain_019b0101-b6d6-73f2-acdf-88a7283931b3" xlink:href="kg-20251231.xsd#kg_EquitySecuritiesFVNIRealizedAndUnrealizedGain"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_RealizedAndUnrealizedGainOnInvestments_019b0101-b6d6-7c00-a0bb-3b140f6fdfef" xlink:to="loc_kg_EquitySecuritiesFVNIRealizedAndUnrealizedGain_019b0101-b6d6-73f2-acdf-88a7283931b3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_019b0101-b6d6-7046-a16d-630c702efbd6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGain_019b0101-b6d6-753f-8cb8-186cd5de4486" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedGain"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_019b0101-b6d6-7046-a16d-630c702efbd6" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGain_019b0101-b6d6-753f-8cb8-186cd5de4486" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedLoss_019b0101-b6d6-7d6a-8ef6-7025c94be6d0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedLoss"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_019b0101-b6d6-7046-a16d-630c702efbd6" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedLoss_019b0101-b6d6-7d6a-8ef6-7025c94be6d0" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/InvestmentsScheduleofNetRealizedandUnrealizedInvestmentGainsLossesDetails_1" xlink:type="simple" xlink:href="kg-20251231.xsd#InvestmentsScheduleofNetRealizedandUnrealizedInvestmentGainsLossesDetails_1"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/InvestmentsScheduleofNetRealizedandUnrealizedInvestmentGainsLossesDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnInvestments_019b0101-b6d6-7996-a730-bffa24a0379e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GainLossOnInvestments"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_RealizedAndUnrealizedGainOnInvestments_019b0101-b6d6-74c5-9c0a-953b3704e90b" xlink:href="kg-20251231.xsd#kg_RealizedAndUnrealizedGainOnInvestments"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GainLossOnInvestments_019b0101-b6d6-7996-a730-bffa24a0379e" xlink:to="loc_kg_RealizedAndUnrealizedGainOnInvestments_019b0101-b6d6-74c5-9c0a-953b3704e90b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_RealizedAndUnrealizedLossOnInvestments_019b0101-b6d6-74cb-8d97-69d362a03d70" xlink:href="kg-20251231.xsd#kg_RealizedAndUnrealizedLossOnInvestments"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GainLossOnInvestments_019b0101-b6d6-7996-a730-bffa24a0379e" xlink:to="loc_kg_RealizedAndUnrealizedLossOnInvestments_019b0101-b6d6-74cb-8d97-69d362a03d70" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/InvestmentsScheduleofFairValueofRestrictedAssetsDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#InvestmentsScheduleofFairValueofRestrictedAssetsDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/InvestmentsScheduleofFairValueofRestrictedAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_kg_RestrictedInvestmentNetOfLiabilities_019b0101-b6d6-7050-850d-6561b7abed31" xlink:href="kg-20251231.xsd#kg_RestrictedInvestmentNetOfLiabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedInvestments_019b0101-b6d6-710a-b7ea-d596d691b4e9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RestrictedInvestments"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_kg_RestrictedInvestmentNetOfLiabilities_019b0101-b6d6-7050-850d-6561b7abed31" xlink:to="loc_us-gaap_RestrictedInvestments_019b0101-b6d6-710a-b7ea-d596d691b4e9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndInvestments_019b0101-b6d6-705e-b2c6-c684f6e7e9b4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RestrictedCashAndInvestments"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents_019b0101-b6d6-743e-996d-60e625a51793" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_RestrictedCashAndInvestments_019b0101-b6d6-705e-b2c6-c684f6e7e9b4" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalents_019b0101-b6d6-743e-996d-60e625a51793" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_RestrictedInvestmentNetOfLiabilities_019b0101-b6d6-7913-9a18-53b4d4826188" xlink:href="kg-20251231.xsd#kg_RestrictedInvestmentNetOfLiabilities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_RestrictedCashAndInvestments_019b0101-b6d6-705e-b2c6-c684f6e7e9b4" xlink:to="loc_kg_RestrictedInvestmentNetOfLiabilities_019b0101-b6d6-7913-9a18-53b4d4826188" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/FairValueMeasurementsScheduleofFinancialInstrumentsMeasuredatFairValueonaRecurringBasisDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#FairValueMeasurementsScheduleofFinancialInstrumentsMeasuredatFairValueonaRecurringBasisDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/FairValueMeasurementsScheduleofFinancialInstrumentsMeasuredatFairValueonaRecurringBasisDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsFairValueDisclosure_d8f9de2d-0ec4-487c-9479-53f0df3b8b9f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsFairValueDisclosure"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_a50e13a7-26d7-4b7a-b7ee-51b05e4a30b5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_d8f9de2d-0ec4-487c-9479-53f0df3b8b9f" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_a50e13a7-26d7-4b7a-b7ee-51b05e4a30b5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesFvNi_2d8e974e-107a-4e6b-b68d-67b2789f8231" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesFvNi"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_d8f9de2d-0ec4-487c-9479-53f0df3b8b9f" xlink:to="loc_us-gaap_EquitySecuritiesFvNi_2d8e974e-107a-4e6b-b68d-67b2789f8231" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationAsset_4a87a3e1-798d-46fc-a282-3e3113230b4a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationContingentConsiderationAsset"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_d8f9de2d-0ec4-487c-9479-53f0df3b8b9f" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationAsset_4a87a3e1-798d-46fc-a282-3e3113230b4a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AlternativeInvestment_019cbbb9-8832-74e9-b3ac-ab9c855b82b4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AlternativeInvestment"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_d8f9de2d-0ec4-487c-9479-53f0df3b8b9f" xlink:to="loc_us-gaap_AlternativeInvestment_019cbbb9-8832-74e9-b3ac-ab9c855b82b4" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/ReinsuranceScheduleofEffectofCededReinsuranceonNetPremiumsWrittenandEarnedandonNetLossandLAEDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#ReinsuranceScheduleofEffectofCededReinsuranceonNetPremiumsWrittenandEarnedandonNetLossandLAEDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/ReinsuranceScheduleofEffectofCededReinsuranceonNetPremiumsWrittenandEarnedandonNetLossandLAEDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_cbd65cf9-1257-4bd1-b415-9df759c59b57" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PolicyholderBenefitsAndClaimsIncurredNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredGross_e47d2d6c-a7f9-425d-84cd-584081ae884c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PolicyholderBenefitsAndClaimsIncurredGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_cbd65cf9-1257-4bd1-b415-9df759c59b57" xlink:to="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredGross_e47d2d6c-a7f9-425d-84cd-584081ae884c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceCostsAndRecoveriesNet_a3d7c08d-e07e-48c8-ad52-e53cce83ee75" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceCostsAndRecoveriesNet"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_cbd65cf9-1257-4bd1-b415-9df759c59b57" xlink:to="loc_us-gaap_ReinsuranceCostsAndRecoveriesNet_a3d7c08d-e07e-48c8-ad52-e53cce83ee75" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/ReserveforLossandLossAdjustmentExpensesScheduleforReserveforLossandLAEDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#ReserveforLossandLossAdjustmentExpensesScheduleforReserveforLossandLAEDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/ReserveforLossandLossAdjustmentExpensesScheduleforReserveforLossandLAEDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_a453f734-c262-4e53-8e03-63c8dbfa5cbb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PolicyholderBenefitsAndClaimsIncurredNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense_f5f3b69b-e9b9-48ce-abd5-16bbacf49e84" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_a453f734-c262-4e53-8e03-63c8dbfa5cbb" xlink:to="loc_us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense_f5f3b69b-e9b9-48ce-abd5-16bbacf49e84" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense_09de2d92-27d9-47c9-9d77-fcfcdd488bb7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_a453f734-c262-4e53-8e03-63c8dbfa5cbb" xlink:to="loc_us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense_09de2d92-27d9-47c9-9d77-fcfcdd488bb7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_1c6261f5-a8b1-4f80-8e10-dccfd97e0ebc" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseReportedClaimsAmount_2c3dca50-40c8-4ef3-8401-4fcbded0ce8e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseReportedClaimsAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_1c6261f5-a8b1-4f80-8e10-dccfd97e0ebc" xlink:to="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseReportedClaimsAmount_2c3dca50-40c8-4ef3-8401-4fcbded0ce8e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredButNotReportedIBNRClaimsAmount_a4ffa074-d958-49ef-b28b-39bff41cb01f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredButNotReportedIBNRClaimsAmount"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_1c6261f5-a8b1-4f80-8e10-dccfd97e0ebc" xlink:to="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredButNotReportedIBNRClaimsAmount_a4ffa074-d958-49ef-b28b-39bff41cb01f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_8d6c2139-beba-4702-828b-b66238883d30" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_7fc4608b-405c-49fc-84b1-b43da452f975" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_8d6c2139-beba-4702-828b-b66238883d30" xlink:to="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_7fc4608b-405c-49fc-84b1-b43da452f975" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceRecoverables_1487f634-e8d2-48f9-b6d7-98a96bd9efae" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRecoverables"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_8d6c2139-beba-4702-828b-b66238883d30" xlink:to="loc_us-gaap_ReinsuranceRecoverables_1487f634-e8d2-48f9-b6d7-98a96bd9efae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForLossesAndLossAdjustmentExpense_21e07db0-5af9-4b10-ad14-d4b9ffb3ecd0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForLossesAndLossAdjustmentExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1_fafbd17f-d91a-4f3d-a3a1-c43ba3db11f9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PaymentsForLossesAndLossAdjustmentExpense_21e07db0-5af9-4b10-ad14-d4b9ffb3ecd0" xlink:to="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1_fafbd17f-d91a-4f3d-a3a1-c43ba3db11f9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_58f0b7ca-27a6-4b76-950a-b6c4630ff990" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PaymentsForLossesAndLossAdjustmentExpense_21e07db0-5af9-4b10-ad14-d4b9ffb3ecd0" xlink:to="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_58f0b7ca-27a6-4b76-950a-b6c4630ff990" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/ReserveforLossandLossAdjustmentExpensesScheduleofIncurredlossesandLAENetofReinsuranceandCumulativePaidLossesandLAENetofReinsuranceDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#ReserveforLossandLossAdjustmentExpensesScheduleofIncurredlossesandLAENetofReinsuranceandCumulativePaidLossesandLAENetofReinsuranceDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/ReserveforLossandLossAdjustmentExpensesScheduleofIncurredlossesandLAENetofReinsuranceandCumulativePaidLossesandLAENetofReinsuranceDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_019b02b0-3446-7f78-a133-c33d34397c79" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet_019b02b0-3446-7bbc-a29c-99e89d699a29" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_019b02b0-3446-7f78-a133-c33d34397c79" xlink:to="loc_us-gaap_ShortdurationInsuranceContractsIncurredClaimsAndAllocatedClaimAdjustmentExpenseNet_019b02b0-3446-7bbc-a29c-99e89d699a29" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShortdurationInsuranceContractsCumulativePaidClaimsAndAllocatedClaimAdjustmentExpenseNet_019b02b0-3446-761a-97e8-234c8f29d898" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsCumulativePaidClaimsAndAllocatedClaimAdjustmentExpenseNet"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_019b02b0-3446-7f78-a133-c33d34397c79" xlink:to="loc_us-gaap_ShortdurationInsuranceContractsCumulativePaidClaimsAndAllocatedClaimAdjustmentExpenseNet_019b02b0-3446-761a-97e8-234c8f29d898" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNetNotSeparatelyPresented_019b02b0-3446-7ae7-bba5-cbbc51a3e5b1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNetNotSeparatelyPresented"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_019b02b0-3446-7f78-a133-c33d34397c79" xlink:to="loc_us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNetNotSeparatelyPresented_019b02b0-3446-7ae7-bba5-cbbc51a3e5b1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet_019b02b0-3446-7c0c-b7f0-3e1e1a2da9eb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_019b02b0-3446-7e19-82f4-3b0404b25214" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet_019b02b0-3446-7c0c-b7f0-3e1e1a2da9eb" xlink:to="loc_us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_019b02b0-3446-7e19-82f4-3b0404b25214" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_019b02b0-3446-7848-8fe9-5d5eef27fac6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ShortdurationInsuranceContractsLiabilityForUnpaidClaimsAndAllocatedClaimAdjustmentExpenseNet_019b02b0-3446-7c0c-b7f0-3e1e1a2da9eb" xlink:to="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_019b02b0-3446-7848-8fe9-5d5eef27fac6" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/CommitmentsContingenciesandGuaranteesScheduledMaturityofOperatingLeaseLiabilitiesDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#CommitmentsContingenciesandGuaranteesScheduledMaturityofOperatingLeaseLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/CommitmentsContingenciesandGuaranteesScheduledMaturityofOperatingLeaseLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_dc3f5178-39e2-442c-8de9-669d69c5437c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_ab9b7574-b6ba-4650-a80a-654a61c8d736" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_dc3f5178-39e2-442c-8de9-669d69c5437c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_ab9b7574-b6ba-4650-a80a-654a61c8d736" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_8211edb5-3ec2-43ad-8a76-49e190c1f12b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_dc3f5178-39e2-442c-8de9-669d69c5437c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_8211edb5-3ec2-43ad-8a76-49e190c1f12b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_1afdc2f1-ef31-499a-b32d-8cd69012ece2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_dc3f5178-39e2-442c-8de9-669d69c5437c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_1afdc2f1-ef31-499a-b32d-8cd69012ece2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_e7620ed0-9b4b-4216-8d27-e40448f151ff" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_dc3f5178-39e2-442c-8de9-669d69c5437c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_e7620ed0-9b4b-4216-8d27-e40448f151ff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_c73fa030-861c-4b48-89b3-95cfd3d99abf" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_dc3f5178-39e2-442c-8de9-669d69c5437c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_c73fa030-861c-4b48-89b3-95cfd3d99abf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_2aff9b1c-b126-41a7-a641-d265f6025af4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_dc3f5178-39e2-442c-8de9-669d69c5437c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_2aff9b1c-b126-41a7-a641-d265f6025af4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_LesseeOperatingLeaseLiabilityFairValueDiscount_3ba4c973-b6dc-4b7c-a475-a2754d2d5207" xlink:href="kg-20251231.xsd#kg_LesseeOperatingLeaseLiabilityFairValueDiscount"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_dc3f5178-39e2-442c-8de9-669d69c5437c" xlink:to="loc_kg_LesseeOperatingLeaseLiabilityFairValueDiscount_3ba4c973-b6dc-4b7c-a475-a2754d2d5207" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/EarningsperCommonShareDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#EarningsperCommonShareDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/EarningsperCommonShareDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_908c2136-cc97-4406-8c30-f574e4232b19" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossFromContinuingOperationsAvailableToCommonShareholdersBasic_6662cc90-659a-4962-81f3-7ae501c0c358" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossFromContinuingOperationsAvailableToCommonShareholdersBasic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_908c2136-cc97-4406-8c30-f574e4232b19" xlink:to="loc_us-gaap_NetIncomeLossFromContinuingOperationsAvailableToCommonShareholdersBasic_6662cc90-659a-4962-81f3-7ae501c0c358" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_e32d1f3d-eedf-40a0-8ec8-4f6dac91fa13" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_908c2136-cc97-4406-8c30-f574e4232b19" xlink:to="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_e32d1f3d-eedf-40a0-8ec8-4f6dac91fa13" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossFromDiscontinuedOperationsAvailableToCommonShareholdersBasic_bd435162-749b-43e4-a557-04a1bb44cf7a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossFromDiscontinuedOperationsAvailableToCommonShareholdersBasic"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_908c2136-cc97-4406-8c30-f574e4232b19" xlink:to="loc_us-gaap_NetIncomeLossFromDiscontinuedOperationsAvailableToCommonShareholdersBasic_bd435162-749b-43e4-a557-04a1bb44cf7a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_ac8de924-8989-45da-814b-4343d9766271" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossFromContinuingOperationsAvailableToCommonShareholdersDiluted_556aa862-6b0e-439b-95b7-5ead2bae4430" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossFromContinuingOperationsAvailableToCommonShareholdersDiluted"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_ac8de924-8989-45da-814b-4343d9766271" xlink:to="loc_us-gaap_NetIncomeLossFromContinuingOperationsAvailableToCommonShareholdersDiluted_556aa862-6b0e-439b-95b7-5ead2bae4430" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_df4ce921-c185-49cf-96e7-d5f6fad60bbb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_ac8de924-8989-45da-814b-4343d9766271" xlink:to="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_df4ce921-c185-49cf-96e7-d5f6fad60bbb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossFromDiscontinuedOperationsAvailableToCommonShareholdersDiluted_def5a62c-b04e-4939-b511-e1fbcdd5492d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossFromDiscontinuedOperationsAvailableToCommonShareholdersDiluted"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_ac8de924-8989-45da-814b-4343d9766271" xlink:to="loc_us-gaap_NetIncomeLossFromDiscontinuedOperationsAvailableToCommonShareholdersDiluted_def5a62c-b04e-4939-b511-e1fbcdd5492d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareDiluted_3f84f82d-e6d4-4118-b5f0-ea6b90a5c3a0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareDiluted"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare_01155af1-759e-4aed-9565-bff08931bf24" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EarningsPerShareDiluted_3f84f82d-e6d4-4118-b5f0-ea6b90a5c3a0" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare_01155af1-759e-4aed-9565-bff08931bf24" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare_9c62fdfa-a7c1-4dba-87f4-0bb2f2681451" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EarningsPerShareDiluted_3f84f82d-e6d4-4118-b5f0-ea6b90a5c3a0" xlink:to="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare_9c62fdfa-a7c1-4dba-87f4-0bb2f2681451" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/IncomeTaxesScheduleofIncomeLossBeforeIncomeTaxesandTotalIncomeTaxExpensesDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#IncomeTaxesScheduleofIncomeLossBeforeIncomeTaxesandTotalIncomeTaxExpensesDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/IncomeTaxesScheduleofIncomeLossBeforeIncomeTaxesandTotalIncomeTaxExpensesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_9ab31cee-cf0e-4397-9d75-7d22a7ea9ecc" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit_13d09fbc-845c-4531-baff-279934ebe5c7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredFederalIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_9ab31cee-cf0e-4397-9d75-7d22a7ea9ecc" xlink:to="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit_13d09fbc-845c-4531-baff-279934ebe5c7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredForeignIncomeTaxExpenseBenefit_1cc5c929-a1aa-43a3-aee0-b68892bbc60a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredForeignIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_9ab31cee-cf0e-4397-9d75-7d22a7ea9ecc" xlink:to="loc_us-gaap_DeferredForeignIncomeTaxExpenseBenefit_1cc5c929-a1aa-43a3-aee0-b68892bbc60a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_08fc7533-6504-4a66-8fd7-8b2e02721018" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_0aa7841d-3484-4949-80dd-51ad26b2d792" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_08fc7533-6504-4a66-8fd7-8b2e02721018" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_0aa7841d-3484-4949-80dd-51ad26b2d792" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign_974d894c-cf19-4abc-a326-99f4c2f2b3b1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_08fc7533-6504-4a66-8fd7-8b2e02721018" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign_974d894c-cf19-4abc-a326-99f4c2f2b3b1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_198b21e3-9c84-41f8-b8ce-d777bad8cdd3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentIncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentFederalTaxExpenseBenefit_ff4eecf5-4c52-4ca3-a093-a0599b4e58cc" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentFederalTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_198b21e3-9c84-41f8-b8ce-d777bad8cdd3" xlink:to="loc_us-gaap_CurrentFederalTaxExpenseBenefit_ff4eecf5-4c52-4ca3-a093-a0599b4e58cc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentForeignTaxExpenseBenefit_f48b5e6b-24de-4639-9454-10e2349467ef" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentForeignTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_198b21e3-9c84-41f8-b8ce-d777bad8cdd3" xlink:to="loc_us-gaap_CurrentForeignTaxExpenseBenefit_f48b5e6b-24de-4639-9454-10e2349467ef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_58b8fab6-2f68-428a-af51-f68d7b1d7910" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_68844575-e740-44f1-9615-e8f7347c5b0a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_58b8fab6-2f68-428a-af51-f68d7b1d7910" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_68844575-e740-44f1-9615-e8f7347c5b0a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_62eb9aa9-c306-499f-a04f-b8922656e8be" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_58b8fab6-2f68-428a-af51-f68d7b1d7910" xlink:to="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_62eb9aa9-c306-499f-a04f-b8922656e8be" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/IncomeTaxesScheduleofEffectiveIncomeTaxRateReconciliationDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#IncomeTaxesScheduleofEffectiveIncomeTaxRateReconciliationDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/IncomeTaxesScheduleofEffectiveIncomeTaxRateReconciliationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_019ce40e-f85e-7660-8124-fa199e13a7f9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_019ce40e-f85e-7971-93be-17eb4e3706b5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_019ce40e-f85e-7660-8124-fa199e13a7f9" xlink:to="loc_us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_019ce40e-f85e-7971-93be-17eb4e3706b5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_019ce40e-f85e-7e69-85c8-86e90a7053a2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_019ce40e-f85e-7660-8124-fa199e13a7f9" xlink:to="loc_us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_019ce40e-f85e-7e69-85c8-86e90a7053a2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_019ce40e-f85e-7eef-8a6c-d842ca4505ce" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_019ce40e-f85e-7660-8124-fa199e13a7f9" xlink:to="loc_us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_019ce40e-f85e-7eef-8a6c-d842ca4505ce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_019c9f9e-3476-7444-8b69-de4b364212c3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_019c9f9e-3476-78d4-abdf-95056c7b8733" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_019c9f9e-3476-7444-8b69-de4b364212c3" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_019c9f9e-3476-78d4-abdf-95056c7b8733" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_019c9f9e-3476-73dd-bff5-20ef4205dee6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_019c9f9e-3476-7444-8b69-de4b364212c3" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_019c9f9e-3476-73dd-bff5-20ef4205dee6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_019c9f9e-3476-79d7-85df-aa3f392d16ee" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_019c9f9e-3476-7444-8b69-de4b364212c3" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_019c9f9e-3476-79d7-85df-aa3f392d16ee" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperations_05413d01-1c2d-48b7-aac3-c47568b6d918" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_cf933662-e4f5-4d6a-9c2c-9c4ca249a05a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_05413d01-1c2d-48b7-aac3-c47568b6d918" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_cf933662-e4f5-4d6a-9c2c-9c4ca249a05a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_7caa1e5c-d44e-4467-96b6-132abd4d6dfb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_05413d01-1c2d-48b7-aac3-c47568b6d918" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_7caa1e5c-d44e-4467-96b6-132abd4d6dfb" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/IncomeTaxesScheduleofIncomeTaxPaidDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#IncomeTaxesScheduleofIncomeTaxPaidDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/IncomeTaxesScheduleofIncomeTaxPaidDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxesPaidNet_019cbc5c-0cfe-7cbb-8c10-4979651181d0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxesPaidNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPaidForeignAfterRefundReceived_019cbc5c-0cfe-77a7-b61e-4e4bb9bdef91" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxPaidForeignAfterRefundReceived"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxesPaidNet_019cbc5c-0cfe-7cbb-8c10-4979651181d0" xlink:to="loc_us-gaap_IncomeTaxPaidForeignAfterRefundReceived_019cbc5c-0cfe-77a7-b61e-4e4bb9bdef91" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPaidFederalAfterRefundReceived_019cbc5c-0cfe-72f2-9975-70a9663359f4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxPaidFederalAfterRefundReceived"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxesPaidNet_019cbc5c-0cfe-7cbb-8c10-4979651181d0" xlink:to="loc_us-gaap_IncomeTaxPaidFederalAfterRefundReceived_019cbc5c-0cfe-72f2-9975-70a9663359f4" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/IncomeTaxesScheduleofDeferredTaxAssetsandLiabilitiesDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#IncomeTaxesScheduleofDeferredTaxAssetsandLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/IncomeTaxesScheduleofDeferredTaxAssetsandLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsGross_6f2ac7f7-06d8-4277-8727-ecba30be2d1c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_d14bd47f-14e1-4458-9218-312fe2b75044" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsOperatingLossCarryforwards"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_6f2ac7f7-06d8-4277-8727-ecba30be2d1c" xlink:to="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_d14bd47f-14e1-4458-9218-312fe2b75044" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsUnearnedPremiumsReserve_a738b9f7-08a4-43cf-8442-a217eccfb1ef" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsUnearnedPremiumsReserve"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_6f2ac7f7-06d8-4277-8727-ecba30be2d1c" xlink:to="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsUnearnedPremiumsReserve_a738b9f7-08a4-43cf-8442-a217eccfb1ef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsInvestments_f641c72f-43d1-4e8d-ab48-2baa8a1a6c22" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsInvestments"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_6f2ac7f7-06d8-4277-8727-ecba30be2d1c" xlink:to="loc_us-gaap_DeferredTaxAssetsInvestments_f641c72f-43d1-4e8d-ab48-2baa8a1a6c22" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsLossReserves_7db42eee-d665-414f-923a-83e4d625ee49" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsLossReserves"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_6f2ac7f7-06d8-4277-8727-ecba30be2d1c" xlink:to="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsLossReserves_7db42eee-d665-414f-923a-83e4d625ee49" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_DeferredTaxAssetsIntangibleAssetsCapitalizedStartUpCosts_61b4d02a-6cd8-466d-ac23-6f2d51695978" xlink:href="kg-20251231.xsd#kg_DeferredTaxAssetsIntangibleAssetsCapitalizedStartUpCosts"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_6f2ac7f7-06d8-4277-8727-ecba30be2d1c" xlink:to="loc_kg_DeferredTaxAssetsIntangibleAssetsCapitalizedStartUpCosts_61b4d02a-6cd8-466d-ac23-6f2d51695978" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsOther_019cad7d-313b-72b0-aa7f-cb88252db3e2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsOther"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_6f2ac7f7-06d8-4277-8727-ecba30be2d1c" xlink:to="loc_us-gaap_DeferredTaxAssetsOther_019cad7d-313b-72b0-aa7f-cb88252db3e2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsNet_b91025a6-b00a-42c5-98df-8a9368853ef7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsGross_16e790d9-4c27-433d-a396-dca77adb773b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsNet_b91025a6-b00a-42c5-98df-8a9368853ef7" xlink:to="loc_us-gaap_DeferredTaxAssetsGross_16e790d9-4c27-433d-a396-dca77adb773b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsValuationAllowance_b268a76a-8543-44eb-b755-376efe050754" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsValuationAllowance"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsNet_b91025a6-b00a-42c5-98df-8a9368853ef7" xlink:to="loc_us-gaap_DeferredTaxAssetsValuationAllowance_b268a76a-8543-44eb-b755-376efe050754" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsLiabilitiesNet_bb203d61-4c0f-493b-ac8b-e617e19c5ce4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsLiabilitiesNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsNet_0bae4c60-0b5f-4146-9d47-71537a4608e9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsLiabilitiesNet_bb203d61-4c0f-493b-ac8b-e617e19c5ce4" xlink:to="loc_us-gaap_DeferredTaxAssetsNet_0bae4c60-0b5f-4146-9d47-71537a4608e9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilities_0717c2d5-6e19-4e4a-b5d0-abac6cf43200" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxLiabilities"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsLiabilitiesNet_bb203d61-4c0f-493b-ac8b-e617e19c5ce4" xlink:to="loc_us-gaap_DeferredIncomeTaxLiabilities_0717c2d5-6e19-4e4a-b5d0-abac6cf43200" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilities_ca672c84-21a9-469f-a11a-b09693a3bb7f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxLiabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_DeferredTaxLiabilitiesFairValueAdjustmentOnDebt_019c90a3-a5d9-7a16-a04b-5fda66763ddb" xlink:href="kg-20251231.xsd#kg_DeferredTaxLiabilitiesFairValueAdjustmentOnDebt"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilities_ca672c84-21a9-469f-a11a-b09693a3bb7f" xlink:to="loc_kg_DeferredTaxLiabilitiesFairValueAdjustmentOnDebt_019c90a3-a5d9-7a16-a04b-5fda66763ddb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilitiesOther_019c90a3-a5d9-72ae-bd4e-aedb9077a892" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxLiabilitiesOther"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilities_ca672c84-21a9-469f-a11a-b09693a3bb7f" xlink:to="loc_us-gaap_DeferredTaxLiabilitiesOther_019c90a3-a5d9-72ae-bd4e-aedb9077a892" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/AssetsHeldforSaleScheduleofAssetsandLiabilitiesClassifiedasHeldforSaleDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#AssetsHeldforSaleScheduleofAssetsandLiabilitiesClassifiedasHeldforSaleDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/AssetsHeldforSaleScheduleofAssetsandLiabilitiesClassifiedasHeldforSaleDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_6b279567-e73c-4fc3-ae38-04e341bba594" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_DisposalGroupIncludingDiscontinuedOperationDebtSecurities_95fb230b-194d-4725-bdae-7ddf0dc79ef8" xlink:href="kg-20251231.xsd#kg_DisposalGroupIncludingDiscontinuedOperationDebtSecurities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_6b279567-e73c-4fc3-ae38-04e341bba594" xlink:to="loc_kg_DisposalGroupIncludingDiscontinuedOperationDebtSecurities_95fb230b-194d-4725-bdae-7ddf0dc79ef8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_DisposalGroupIncludingDiscontinuedOperationAccruedInvestmentIncome_7dfe9841-0205-40d0-b597-fe62f347f697" xlink:href="kg-20251231.xsd#kg_DisposalGroupIncludingDiscontinuedOperationAccruedInvestmentIncome"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_6b279567-e73c-4fc3-ae38-04e341bba594" xlink:to="loc_kg_DisposalGroupIncludingDiscontinuedOperationAccruedInvestmentIncome_7dfe9841-0205-40d0-b597-fe62f347f697" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationCashAndCashEquivalents_daed0d25-5e79-48d7-ad5d-2d426a8be491" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationCashAndCashEquivalents"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_6b279567-e73c-4fc3-ae38-04e341bba594" xlink:to="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationCashAndCashEquivalents_daed0d25-5e79-48d7-ad5d-2d426a8be491" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherAssets_4e785de3-ff77-434b-93c4-154c279b8e87" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherAssets"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_6b279567-e73c-4fc3-ae38-04e341bba594" xlink:to="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherAssets_4e785de3-ff77-434b-93c4-154c279b8e87" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_4a71ee0f-1599-45b4-9aa4-9ed1afb24901" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherLiabilities_955bf1f7-55ef-4b19-a87b-805334abe84b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherLiabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_4a71ee0f-1599-45b4-9aa4-9ed1afb24901" xlink:to="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherLiabilities_955bf1f7-55ef-4b19-a87b-805334abe84b" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/AssetsHeldforSaleScheduleofIncomeStatementDisclosuresDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#AssetsHeldforSaleScheduleofIncomeStatementDisclosuresDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/AssetsHeldforSaleScheduleofIncomeStatementDisclosuresDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_fcdb2cee-ae43-48eb-b7d2-1f1f3977f7bd" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_DisposalGroupIncludingDiscontinuedOperationInvestmentIncomeNet_1ef32fcb-eeec-4018-86f5-9f87faf66cb0" xlink:href="kg-20251231.xsd#kg_DisposalGroupIncludingDiscontinuedOperationInvestmentIncomeNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_fcdb2cee-ae43-48eb-b7d2-1f1f3977f7bd" xlink:to="loc_kg_DisposalGroupIncludingDiscontinuedOperationInvestmentIncomeNet_1ef32fcb-eeec-4018-86f5-9f87faf66cb0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationGeneralAndAdministrativeExpense_2ea4023d-8589-43e6-ac82-a2e4f76c7bf3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationGeneralAndAdministrativeExpense"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_fcdb2cee-ae43-48eb-b7d2-1f1f3977f7bd" xlink:to="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationGeneralAndAdministrativeExpense_2ea4023d-8589-43e6-ac82-a2e4f76c7bf3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationForeignCurrencyTranslationGainsLosses_f2f5dc07-8a50-4c9c-9294-30b14c591315" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationForeignCurrencyTranslationGainsLosses"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_fcdb2cee-ae43-48eb-b7d2-1f1f3977f7bd" xlink:to="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationForeignCurrencyTranslationGainsLosses_f2f5dc07-8a50-4c9c-9294-30b14c591315" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/BusinessCombinationScheduleofPurchasePriceDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#BusinessCombinationScheduleofPurchasePriceDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/BusinessCombinationScheduleofPurchasePriceDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_40ecb5d6-ae86-4fe9-ad50-81a43fd30b0f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationConsiderationTransferredEquityInterestExcludingTreasuryStock_00c51772-c82d-411c-91b8-a67f60e83636" xlink:href="kg-20251231.xsd#kg_BusinessCombinationConsiderationTransferredEquityInterestExcludingTreasuryStock"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_40ecb5d6-ae86-4fe9-ad50-81a43fd30b0f" xlink:to="loc_kg_BusinessCombinationConsiderationTransferredEquityInterestExcludingTreasuryStock_00c51772-c82d-411c-91b8-a67f60e83636" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationConsiderationTransferredEquityInterestInTreasuryStock_50a0043a-7a31-4a1c-aa16-ed1587defd3a" xlink:href="kg-20251231.xsd#kg_BusinessCombinationConsiderationTransferredEquityInterestInTreasuryStock"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_40ecb5d6-ae86-4fe9-ad50-81a43fd30b0f" xlink:to="loc_kg_BusinessCombinationConsiderationTransferredEquityInterestInTreasuryStock_50a0043a-7a31-4a1c-aa16-ed1587defd3a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferred1_24b21365-ccf0-4c77-bbd3-99ed75612ea3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationConsiderationTransferred1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_3700b43e-a2b1-4e04-8c15-0f6f2ce45398" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferred1_24b21365-ccf0-4c77-bbd3-99ed75612ea3" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_3700b43e-a2b1-4e04-8c15-0f6f2ce45398" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationConsiderationTransferredAttributableToPreCombinationService_b29eaa27-f36b-47ac-bd7b-58ac5828ce85" xlink:href="kg-20251231.xsd#kg_BusinessCombinationConsiderationTransferredAttributableToPreCombinationService"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferred1_24b21365-ccf0-4c77-bbd3-99ed75612ea3" xlink:to="loc_kg_BusinessCombinationConsiderationTransferredAttributableToPreCombinationService_b29eaa27-f36b-47ac-bd7b-58ac5828ce85" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationConsiderationTransferredIntercompanySettlement_3b3cf9a7-8d13-458a-b5e0-7027b343d3bb" xlink:href="kg-20251231.xsd#kg_BusinessCombinationConsiderationTransferredIntercompanySettlement"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferred1_24b21365-ccf0-4c77-bbd3-99ed75612ea3" xlink:to="loc_kg_BusinessCombinationConsiderationTransferredIntercompanySettlement_3b3cf9a7-8d13-458a-b5e0-7027b343d3bb" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/BusinessCombinationScheduleofPurchasePriceofAssetsandLiabilitiesAssumedDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#BusinessCombinationScheduleofPurchasePriceofAssetsandLiabilitiesAssumedDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/BusinessCombinationScheduleofPurchasePriceofAssetsandLiabilitiesAssumedDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedFixedMaturitiesAvailableForSale_6207c478-1a76-4b5a-9278-6328f49f4f95" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedFixedMaturitiesAvailableForSale"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedFixedMaturitiesAvailableForSale_6207c478-1a76-4b5a-9278-6328f49f4f95" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquitySecurities_e459ce42-5d4b-42a0-9d01-465dcc8d857e" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquitySecurities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquitySecurities_e459ce42-5d4b-42a0-9d01-465dcc8d857e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquityMethodInvestments_4df042e2-4ea8-49d7-9b46-2c5edde5fd5a" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquityMethodInvestments"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquityMethodInvestments_4df042e2-4ea8-49d7-9b46-2c5edde5fd5a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherInvestments_d5a79eb0-36e4-40cc-8b38-3a019931767d" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherInvestments"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherInvestments_d5a79eb0-36e4-40cc-8b38-3a019931767d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_068b7d25-6ac9-48cb-a796-30ce90f4ecdf" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_068b7d25-6ac9-48cb-a796-30ce90f4ecdf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRestrictedCashAndCashEquivalents_3b426810-a0a3-4dc9-a208-9266cac8fdf8" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRestrictedCashAndCashEquivalents"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRestrictedCashAndCashEquivalents_3b426810-a0a3-4dc9-a208-9266cac8fdf8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAccruedInvestmentIncome_4d49dbd6-f5a5-4a6e-95ac-9a437212901b" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAccruedInvestmentIncome"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAccruedInvestmentIncome_4d49dbd6-f5a5-4a6e-95ac-9a437212901b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedReinsuranceBalancesReceivableNet_69cc4821-df9c-475e-9296-275076baba08" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedReinsuranceBalancesReceivableNet"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedReinsuranceBalancesReceivableNet_69cc4821-df9c-475e-9296-275076baba08" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedReinsuranceRecoverableOnUnpaidLosses_e25927d8-c445-4fc1-991a-157f0d359179" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedReinsuranceRecoverableOnUnpaidLosses"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedReinsuranceRecoverableOnUnpaidLosses_e25927d8-c445-4fc1-991a-157f0d359179" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNetLoanReceivableFromRelatedParty_f25a4a4a-3841-48ac-8400-2f427771e1ae" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNetLoanReceivableFromRelatedParty"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNetLoanReceivableFromRelatedParty_f25a4a4a-3841-48ac-8400-2f427771e1ae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_d3874a87-a329-4540-a8a0-f43d709698f3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_d3874a87-a329-4540-a8a0-f43d709698f3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_88685f88-39d5-4653-ab10-fba6fb5d7e32" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_88685f88-39d5-4653-ab10-fba6fb5d7e32" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsOther_6ca9a017-8486-4947-866e-13f30b51dcfe" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsOther"/>
    <link:calculationArc order="13" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsOther_6ca9a017-8486-4947-866e-13f30b51dcfe" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsHeldForSale_c8dd1a78-6bf4-4cc5-abde-004291e44de3" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsHeldForSale"/>
    <link:calculationArc order="14" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsHeldForSale_c8dd1a78-6bf4-4cc5-abde-004291e44de3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedReserveForLossAndLossAdjustmentExpenses_0b76d85c-f0a2-4820-96cd-21d4f3564b27" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedReserveForLossAndLossAdjustmentExpenses"/>
    <link:calculationArc order="15" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedReserveForLossAndLossAdjustmentExpenses_0b76d85c-f0a2-4820-96cd-21d4f3564b27" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedUnearnedPremiums_8a2733be-30b8-42d1-b3b2-24f54495bf32" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedUnearnedPremiums"/>
    <link:calculationArc order="16" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedUnearnedPremiums_8a2733be-30b8-42d1-b3b2-24f54495bf32" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAccruedExpensesAndOtherLiabilities_984e1c78-13bb-49ed-b4e4-eff53c0f96e2" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAccruedExpensesAndOtherLiabilities"/>
    <link:calculationArc order="17" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAccruedExpensesAndOtherLiabilities_984e1c78-13bb-49ed-b4e4-eff53c0f96e2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLongTermDebt_7740ff66-7c14-4b32-b236-934b0eb12a53" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLongTermDebt"/>
    <link:calculationArc order="18" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLongTermDebt_7740ff66-7c14-4b32-b236-934b0eb12a53" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesHeldForSale_44e7c45b-34e7-4797-9c2e-d16b88045325" xlink:href="kg-20251231.xsd#kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesHeldForSale"/>
    <link:calculationArc order="19" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_f81cc668-858e-47f8-afd5-2c2b2a89f784" xlink:to="loc_kg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesHeldForSale_44e7c45b-34e7-4797-9c2e-d16b88045325" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.kestrel.bm/role/BusinessCombinationProFormaDetails" xlink:type="simple" xlink:href="kg-20251231.xsd#BusinessCombinationProFormaDetails"/>
  <link:calculationLink xlink:role="http://www.kestrel.bm/role/BusinessCombinationProFormaDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss_019ce352-b18c-75af-b9f1-0aab89b0a66e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionsProFormaRevenue_019ce352-b18c-753c-8fed-13c5ac15b5f0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessAcquisitionsProFormaRevenue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss_019ce352-b18c-75af-b9f1-0aab89b0a66e" xlink:to="loc_us-gaap_BusinessAcquisitionsProFormaRevenue_019ce352-b18c-753c-8fed-13c5ac15b5f0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_kg_BusinessCombinationProFormaInformationProFormaExpenses_019ce352-b18c-73b0-98a3-fd8fd2ce3c39" xlink:href="kg-20251231.xsd#kg_BusinessCombinationProFormaInformationProFormaExpenses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss_019ce352-b18c-75af-b9f1-0aab89b0a66e" xlink:to="loc_kg_BusinessCombinationProFormaInformationProFormaExpenses_019ce352-b18c-73b0-98a3-fd8fd2ce3c39" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
