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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019f004b-0a62-79bb-8fc6-0b0877538d6a,g:3f7b3ce2-e4de-483c-8aae-fe460d8364dc-->
<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:arcroleRef arcroleURI="https://xbrl.org/2023/arcrole/summation-item" xlink:type="simple" xlink:href="https://www.xbrl.org/2023/calculation-1.1.xsd#summation-item"/>
  <link:roleRef roleURI="http://realloys.com/role/CondensedConsolidatedBalanceSheets" xlink:type="simple" xlink:href="aloy-20260630.xsd#CondensedConsolidatedBalanceSheets"/>
  <link:calculationLink xlink:role="http://realloys.com/role/CondensedConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_019f004b-0b02-722d-809d-8c67615b09d4" 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_Liabilities_019f004b-0b02-7075-a369-4321ec0c0518" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_019f004b-0b02-722d-809d-8c67615b09d4" xlink:to="loc_us-gaap_Liabilities_019f004b-0b02-7075-a369-4321ec0c0518" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TemporaryEquityCarryingAmountAttributableToParent_019f004b-0b02-7724-af7e-6f4f4e0093fb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TemporaryEquityCarryingAmountAttributableToParent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_019f004b-0b02-722d-809d-8c67615b09d4" xlink:to="loc_us-gaap_TemporaryEquityCarryingAmountAttributableToParent_019f004b-0b02-7724-af7e-6f4f4e0093fb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_019f004b-0b02-71e3-b5d3-3dec7bc154b0" 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="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_019f004b-0b02-722d-809d-8c67615b09d4" xlink:to="loc_us-gaap_StockholdersEquity_019f004b-0b02-71e3-b5d3-3dec7bc154b0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_019f004b-0b02-73b5-a21a-7c182aeb4378" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Cash_019f004b-0b02-797f-a9af-c44042fe8380" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Cash"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_019f004b-0b02-73b5-a21a-7c182aeb4378" xlink:to="loc_us-gaap_Cash_019f004b-0b02-797f-a9af-c44042fe8380" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_019f004b-0b02-7e4d-936e-c2324a6dbac4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountsReceivableNetCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_019f004b-0b02-73b5-a21a-7c182aeb4378" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_019f004b-0b02-7e4d-936e-c2324a6dbac4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseCurrent_019f004b-0b02-7108-b74e-effeddc86d1d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrepaidExpenseCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_019f004b-0b02-73b5-a21a-7c182aeb4378" xlink:to="loc_us-gaap_PrepaidExpenseCurrent_019f004b-0b02-7108-b74e-effeddc86d1d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_PrepaidDepositCurrent_019f004b-0b02-7ed3-bfa2-ef3c71bfe386" xlink:href="aloy-20260630.xsd#aloy_PrepaidDepositCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_019f004b-0b02-73b5-a21a-7c182aeb4378" xlink:to="loc_aloy_PrepaidDepositCurrent_019f004b-0b02-7ed3-bfa2-ef3c71bfe386" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_019f004b-0b02-710a-ba03-4ca2a1ae6cb6" 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_AssetsCurrent_019f004b-0b02-7d93-9a07-d5f0f44c4b87" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019f004b-0b02-710a-ba03-4ca2a1ae6cb6" xlink:to="loc_us-gaap_AssetsCurrent_019f004b-0b02-7d93-9a07-d5f0f44c4b87" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsNoncurrent_019f004b-0b02-7dcd-a15f-4f311af2899b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019f004b-0b02-710a-ba03-4ca2a1ae6cb6" xlink:to="loc_us-gaap_AssetsNoncurrent_019f004b-0b02-7dcd-a15f-4f311af2899b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesNoncurrent_019f004b-0b02-7999-9e5d-0dc05c03dee0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesNoncurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilitiesNoncurrent_019f004b-0b02-73d1-9dbe-d407d25f8d33" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeLiabilitiesNoncurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_019f004b-0b02-7999-9e5d-0dc05c03dee0" xlink:to="loc_us-gaap_DerivativeLiabilitiesNoncurrent_019f004b-0b02-73d1-9dbe-d407d25f8d33" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_019f004b-0b02-704c-a39f-d24211ad84d5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_019f004b-0b02-7999-9e5d-0dc05c03dee0" xlink:to="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_019f004b-0b02-704c-a39f-d24211ad84d5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_019f004b-0b02-73db-86d6-dd6ee5a88436" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_019f004b-0b02-7999-9e5d-0dc05c03dee0" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_019f004b-0b02-73db-86d6-dd6ee5a88436" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_019f004b-0b02-794e-b7bd-4303891f486d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_019f004b-0b02-7999-9e5d-0dc05c03dee0" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_019f004b-0b02-794e-b7bd-4303891f486d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_019f004b-0b02-7ba1-9009-b4fc11f6a83c" 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_LiabilitiesCurrent_019f004b-0b02-74fa-b14e-a5d0457217ea" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019f004b-0b02-7ba1-9009-b4fc11f6a83c" xlink:to="loc_us-gaap_LiabilitiesCurrent_019f004b-0b02-74fa-b14e-a5d0457217ea" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesNoncurrent_019f004b-0b02-783e-bddb-fe4dedb88951" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019f004b-0b02-7ba1-9009-b4fc11f6a83c" xlink:to="loc_us-gaap_LiabilitiesNoncurrent_019f004b-0b02-783e-bddb-fe4dedb88951" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsNoncurrent_019f004b-0b02-74fd-8ebc-70f854960823" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsNoncurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_019f004b-0b02-73aa-9d22-d45fa994c04e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Goodwill"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_019f004b-0b02-74fd-8ebc-70f854960823" xlink:to="loc_us-gaap_Goodwill_019f004b-0b02-73aa-9d22-d45fa994c04e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_019f004b-0b02-7b34-8fbf-2d107861906c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_019f004b-0b02-74fd-8ebc-70f854960823" xlink:to="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_019f004b-0b02-7b34-8fbf-2d107861906c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MineralPropertiesNet_019f004b-0b02-7c92-bfb3-7832f63bc3bb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MineralPropertiesNet"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_019f004b-0b02-74fd-8ebc-70f854960823" xlink:to="loc_us-gaap_MineralPropertiesNet_019f004b-0b02-7c92-bfb3-7832f63bc3bb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_019f004b-0b02-7c8c-8987-f4649fe6b3ec" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_019f004b-0b02-74fd-8ebc-70f854960823" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_019f004b-0b02-7c8c-8987-f4649fe6b3ec" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_019f004b-0b02-79b5-8744-a3ec20578a20" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_019f004b-0b02-74fd-8ebc-70f854960823" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_019f004b-0b02-79b5-8744-a3ec20578a20" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_ConstructionInProgressNet_019fd0af-030d-7b07-8153-6d2c4fa04539" xlink:href="aloy-20260630.xsd#aloy_ConstructionInProgressNet"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_019f004b-0b02-74fd-8ebc-70f854960823" xlink:to="loc_aloy_ConstructionInProgressNet_019fd0af-030d-7b07-8153-6d2c4fa04539" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_019f004b-0b02-747b-9ae4-56ac383892a4" 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_PreferredStockValue_019f004b-0b02-7aff-9062-0bf540ab9510" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019f004b-0b02-747b-9ae4-56ac383892a4" xlink:to="loc_us-gaap_PreferredStockValue_019f004b-0b02-7aff-9062-0bf540ab9510" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_019f004b-0b02-7637-905e-a92d02228f9e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019f004b-0b02-747b-9ae4-56ac383892a4" xlink:to="loc_us-gaap_CommonStockValue_019f004b-0b02-7637-905e-a92d02228f9e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_019f004b-0b02-7a7a-8955-5a481c539f66" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019f004b-0b02-747b-9ae4-56ac383892a4" xlink:to="loc_us-gaap_AdditionalPaidInCapital_019f004b-0b02-7a7a-8955-5a481c539f66" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_019f004b-0b02-7f08-9bda-376f143d3bb0" 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="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019f004b-0b02-747b-9ae4-56ac383892a4" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_019f004b-0b02-7f08-9bda-376f143d3bb0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_019f004b-0b02-7cb6-9f1b-57dbd9f15480" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent_019f004b-0b02-7482-9003-201507578a4d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_019f004b-0b02-7cb6-9f1b-57dbd9f15480" xlink:to="loc_us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent_019f004b-0b02-7482-9003-201507578a4d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_019f004b-0b02-7ddb-9742-1899de8ba2f7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_019f004b-0b02-7cb6-9f1b-57dbd9f15480" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_019f004b-0b02-7ddb-9742-1899de8ba2f7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesPayableCurrent_019f004b-0b02-78cb-81d9-f0a2d85abce8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NotesPayableCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_019f004b-0b02-7cb6-9f1b-57dbd9f15480" xlink:to="loc_us-gaap_NotesPayableCurrent_019f004b-0b02-78cb-81d9-f0a2d85abce8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_SimpleAgreementForFutureEquityLiabilityCurrent_019f004b-0b02-758b-a33b-1bb563a2be6f" xlink:href="aloy-20260630.xsd#aloy_SimpleAgreementForFutureEquityLiabilityCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_019f004b-0b02-7cb6-9f1b-57dbd9f15480" xlink:to="loc_aloy_SimpleAgreementForFutureEquityLiabilityCurrent_019f004b-0b02-758b-a33b-1bb563a2be6f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://realloys.com/role/CondensedConsolidatedStatementsofOperations" xlink:type="simple" xlink:href="aloy-20260630.xsd#CondensedConsolidatedStatementsofOperations"/>
  <link:calculationLink xlink:role="http://realloys.com/role/CondensedConsolidatedStatementsofOperations" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_019fcd9c-b507-7fc5-971f-f983384377ae" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseNonoperating_019fcd9c-b507-7f9b-901c-df9c81dab856" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestExpenseNonoperating"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_019fcd9c-b507-7fc5-971f-f983384377ae" xlink:to="loc_us-gaap_InterestExpenseNonoperating_019fcd9c-b507-7f9b-901c-df9c81dab856" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_DerivativeInstrumentContingentConsiderationChangeInContingentConsiderationLiabilityIncreaseDecrease_019fcd9c-b507-708a-8c99-4ae2c93aa5e8" xlink:href="aloy-20260630.xsd#aloy_DerivativeInstrumentContingentConsiderationChangeInContingentConsiderationLiabilityIncreaseDecrease"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_019fcd9c-b507-7fc5-971f-f983384377ae" xlink:to="loc_aloy_DerivativeInstrumentContingentConsiderationChangeInContingentConsiderationLiabilityIncreaseDecrease_019fcd9c-b507-708a-8c99-4ae2c93aa5e8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_DeferredCashConsiderationLatePaymentPenalties_019fcd9c-b507-7bb5-9e6b-3ce13b1e1ae3" xlink:href="aloy-20260630.xsd#aloy_DeferredCashConsiderationLatePaymentPenalties"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_019fcd9c-b507-7fc5-971f-f983384377ae" xlink:to="loc_aloy_DeferredCashConsiderationLatePaymentPenalties_019fcd9c-b507-7bb5-9e6b-3ce13b1e1ae3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeInvestmentExpense_019fcd9c-b507-731d-84eb-fabf4bb3dc90" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInvestmentExpense"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_019fcd9c-b507-7fc5-971f-f983384377ae" xlink:to="loc_us-gaap_InvestmentIncomeInvestmentExpense_019fcd9c-b507-731d-84eb-fabf4bb3dc90" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockAccretionOfRedemptionDiscount_019fcd9c-b507-7b7d-a377-e40c07eaaa8f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockAccretionOfRedemptionDiscount"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_019fcd9c-b507-7fc5-971f-f983384377ae" xlink:to="loc_us-gaap_PreferredStockAccretionOfRedemptionDiscount_019fcd9c-b507-7b7d-a377-e40c07eaaa8f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_019f004b-0b02-7282-a90f-015fb2b7692f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019f004b-0b02-76ca-a7fe-8146f123a417" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_019f004b-0b02-7282-a90f-015fb2b7692f" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019f004b-0b02-76ca-a7fe-8146f123a417" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostsAndExpenses_019f004b-0b02-7497-9a70-dfc012fd7657" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CostsAndExpenses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_019f004b-0b02-7282-a90f-015fb2b7692f" xlink:to="loc_us-gaap_CostsAndExpenses_019f004b-0b02-7497-9a70-dfc012fd7657" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019f004b-0b02-7f20-bbf0-f45660182d51" 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_OperatingIncomeLoss_019f004b-0b02-7c5b-b3a3-191e94eb7c74" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_019f004b-0b02-7f20-bbf0-f45660182d51" xlink:to="loc_us-gaap_OperatingIncomeLoss_019f004b-0b02-7c5b-b3a3-191e94eb7c74" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_019f004b-0b02-71e3-a0d6-0ff68acdbef3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_019f004b-0b02-7f20-bbf0-f45660182d51" xlink:to="loc_us-gaap_NonoperatingIncomeExpense_019f004b-0b02-71e3-a0d6-0ff68acdbef3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostsAndExpenses_019f004b-0b02-791d-9ab7-4227058041c6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CostsAndExpenses"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfRevenue_019f004b-0b02-7eca-96ea-d3c7e9a12931" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CostOfRevenue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_019f004b-0b02-791d-9ab7-4227058041c6" xlink:to="loc_us-gaap_CostOfRevenue_019f004b-0b02-7eca-96ea-d3c7e9a12931" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ResearchAndDevelopmentExpenseSoftwareExcludingAcquiredInProcessCost_019f004b-0b02-77e0-9046-8a31d614f940" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ResearchAndDevelopmentExpenseSoftwareExcludingAcquiredInProcessCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_019f004b-0b02-791d-9ab7-4227058041c6" xlink:to="loc_us-gaap_ResearchAndDevelopmentExpenseSoftwareExcludingAcquiredInProcessCost_019f004b-0b02-77e0-9046-8a31d614f940" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SellingGeneralAndAdministrativeExpense_019f004b-0b02-70e0-bdb5-daa3b1679d65" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SellingGeneralAndAdministrativeExpense"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_019f004b-0b02-791d-9ab7-4227058041c6" xlink:to="loc_us-gaap_SellingGeneralAndAdministrativeExpense_019f004b-0b02-70e0-bdb5-daa3b1679d65" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MarketingAndAdvertisingExpense_019f004b-0b02-7f10-906e-665265a88ec6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MarketingAndAdvertisingExpense"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_019f004b-0b02-791d-9ab7-4227058041c6" xlink:to="loc_us-gaap_MarketingAndAdvertisingExpense_019f004b-0b02-7f10-906e-665265a88ec6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_DepreciationDepletionAndAmortizationNet_019f004b-0b02-75c6-88f1-d974d1f94429" xlink:href="aloy-20260630.xsd#aloy_DepreciationDepletionAndAmortizationNet"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_019f004b-0b02-791d-9ab7-4227058041c6" xlink:to="loc_aloy_DepreciationDepletionAndAmortizationNet_019f004b-0b02-75c6-88f1-d974d1f94429" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://realloys.com/role/CondensedConsolidatedStatementsofCashFlowsUnaudited" xlink:type="simple" xlink:href="aloy-20260630.xsd#CondensedConsolidatedStatementsofCashFlowsUnaudited"/>
  <link:calculationLink xlink:role="http://realloys.com/role/CondensedConsolidatedStatementsofCashFlowsUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" 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_aloy_NetIncomeLossAttributableToParentAdjusted_019f004b-0b03-7f5f-b171-17f128f59f86" xlink:href="aloy-20260630.xsd#aloy_NetIncomeLossAttributableToParentAdjusted"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_aloy_NetIncomeLossAttributableToParentAdjusted_019f004b-0b03-7f5f-b171-17f128f59f86" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_ImputedInterestExpense_019f004b-0b03-731d-9cb6-fc16d9f0f974" xlink:href="aloy-20260630.xsd#aloy_ImputedInterestExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_aloy_ImputedInterestExpense_019f004b-0b03-731d-9cb6-fc16d9f0f974" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_019f004b-0b03-7911-8969-611003b03d82" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_019f004b-0b03-7911-8969-611003b03d82" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_DepreciationDepletionAndAmortizationNet_019f004b-0b03-729a-b96e-e12904515542" xlink:href="aloy-20260630.xsd#aloy_DepreciationDepletionAndAmortizationNet"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_aloy_DepreciationDepletionAndAmortizationNet_019f004b-0b03-729a-b96e-e12904515542" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockAccretionOfRedemptionDiscount_019f004b-0b03-71df-95ad-d6a8a80cd909" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockAccretionOfRedemptionDiscount"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_us-gaap_PreferredStockAccretionOfRedemptionDiscount_019f004b-0b03-71df-95ad-d6a8a80cd909" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_019f004b-0b03-7e96-bda9-09991b6d7fc4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_us-gaap_ShareBasedCompensation_019f004b-0b03-7e96-bda9-09991b6d7fc4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_DeferredCashConsiderationLatePaymentPenalties_019f004b-0b03-73b8-a5f5-469f015df630" xlink:href="aloy-20260630.xsd#aloy_DeferredCashConsiderationLatePaymentPenalties"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_aloy_DeferredCashConsiderationLatePaymentPenalties_019f004b-0b03-73b8-a5f5-469f015df630" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_DerivativeInstrumentContingentConsiderationChangeInContingentConsiderationLiabilityIncreaseDecrease_019f004b-0b03-7994-b7b4-0c242576d5f7" xlink:href="aloy-20260630.xsd#aloy_DerivativeInstrumentContingentConsiderationChangeInContingentConsiderationLiabilityIncreaseDecrease"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_aloy_DerivativeInstrumentContingentConsiderationChangeInContingentConsiderationLiabilityIncreaseDecrease_019f004b-0b03-7994-b7b4-0c242576d5f7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesWithoutReadilyDeterminableFairValueImpairmentLossAnnualAmount_019f004b-0b03-73da-927a-be7673197f5c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesWithoutReadilyDeterminableFairValueImpairmentLossAnnualAmount"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_us-gaap_EquitySecuritiesWithoutReadilyDeterminableFairValueImpairmentLossAnnualAmount_019f004b-0b03-73da-927a-be7673197f5c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidExpense_019f004b-0b03-7e3f-a58a-2353cdf549cd" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInPrepaidExpense"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_us-gaap_IncreaseDecreaseInPrepaidExpense_019f004b-0b03-7e3f-a58a-2353cdf549cd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_019f004b-0b03-71ac-b1af-0f2fab859869" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_019f004b-0b03-71ac-b1af-0f2fab859869" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_019fc785-2029-7dff-83d8-623ba3c644cc" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInContractWithCustomerLiability"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_019fc785-2029-7dff-83d8-623ba3c644cc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_019fcd6d-8b69-747b-a389-1bce4d69c7c3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:calculationArc order="13" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_019fcd6d-8b69-747b-a389-1bce4d69c7c3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_IncreaseDecreaseInOperatingLeaseLiabilityAndOther_019fcd6d-8b69-7470-be84-5e5ecb069cb5" xlink:href="aloy-20260630.xsd#aloy_IncreaseDecreaseInOperatingLeaseLiabilityAndOther"/>
    <link:calculationArc order="14" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e0d-abf5-6dd603a33b93" xlink:to="loc_aloy_IncreaseDecreaseInOperatingLeaseLiabilityAndOther_019fcd6d-8b69-7470-be84-5e5ecb069cb5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019f004b-0b03-7d35-a74d-665ca4ee1f5c" 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_aloy_CashAcquiredThroughReverseRecapitalizationNet_019f004b-0b03-7bdd-94ea-ccb87cfe5aaf" xlink:href="aloy-20260630.xsd#aloy_CashAcquiredThroughReverseRecapitalizationNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019f004b-0b03-7d35-a74d-665ca4ee1f5c" xlink:to="loc_aloy_CashAcquiredThroughReverseRecapitalizationNet_019f004b-0b03-7bdd-94ea-ccb87cfe5aaf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_PaymentsForCapitalDepositsAndConstructionInProgress_019fc787-8b98-717a-becb-f3ea0343d73b" xlink:href="aloy-20260630.xsd#aloy_PaymentsForCapitalDepositsAndConstructionInProgress"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019f004b-0b03-7d35-a74d-665ca4ee1f5c" xlink:to="loc_aloy_PaymentsForCapitalDepositsAndConstructionInProgress_019fc787-8b98-717a-becb-f3ea0343d73b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_019ff4ee-7451-79f6-80e1-c925507f7c18" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019f004b-0b03-7d35-a74d-665ca4ee1f5c" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_019ff4ee-7451-79f6-80e1-c925507f7c18" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_019f004b-0b03-7ab8-b0ad-e7e6cbe0df26" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e95-b598-759da1d361da" 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="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_019f004b-0b03-7ab8-b0ad-e7e6cbe0df26" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f004b-0b03-7e95-b598-759da1d361da" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019f004b-0b03-7163-badd-4532b1e883fc" 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="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_019f004b-0b03-7ab8-b0ad-e7e6cbe0df26" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019f004b-0b03-7163-badd-4532b1e883fc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019f004b-0b03-7e8c-9e1c-02985490ac03" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_019f004b-0b03-7ab8-b0ad-e7e6cbe0df26" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019f004b-0b03-7e8c-9e1c-02985490ac03" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019f004b-0b03-70a7-887f-039ccbecdb35" 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_ProceedsFromNotesPayable_019f004b-0b03-79f5-9430-fe4f35982219" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromNotesPayable"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019f004b-0b03-70a7-887f-039ccbecdb35" xlink:to="loc_us-gaap_ProceedsFromNotesPayable_019f004b-0b03-79f5-9430-fe4f35982219" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_ProceedsFromSAFELiability_019f004b-0b03-745e-9f60-21691a2c07ba" xlink:href="aloy-20260630.xsd#aloy_ProceedsFromSAFELiability"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019f004b-0b03-70a7-887f-039ccbecdb35" xlink:to="loc_aloy_ProceedsFromSAFELiability_019f004b-0b03-745e-9f60-21691a2c07ba" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_PaymentsForDeferredCashConsideration_019f004b-0b03-7a38-88c7-4ce2b4d19c04" xlink:href="aloy-20260630.xsd#aloy_PaymentsForDeferredCashConsideration"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019f004b-0b03-70a7-887f-039ccbecdb35" xlink:to="loc_aloy_PaymentsForDeferredCashConsideration_019f004b-0b03-7a38-88c7-4ce2b4d19c04" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_019fc789-43fa-70c6-af2b-4313027f78e7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019f004b-0b03-70a7-887f-039ccbecdb35" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_019fc789-43fa-70c6-af2b-4313027f78e7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock_019fdc5b-3580-756f-a99b-9f16d8962c33" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019f004b-0b03-70a7-887f-039ccbecdb35" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock_019fdc5b-3580-756f-a99b-9f16d8962c33" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://realloys.com/role/PrepaidExpensesandProjectDepositsScheduleofPrepaidExpensesandProjectDepositsDetails" xlink:type="simple" xlink:href="aloy-20260630.xsd#PrepaidExpensesandProjectDepositsScheduleofPrepaidExpensesandProjectDepositsDetails"/>
  <link:calculationLink xlink:role="http://realloys.com/role/PrepaidExpensesandProjectDepositsScheduleofPrepaidExpensesandProjectDepositsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_019f004b-0b03-7bc2-aab9-a941cccc7f57" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_PrepaidEquityBasedConsultingCurrent_019f004b-0b03-7beb-b614-67cdbb548f5f" xlink:href="aloy-20260630.xsd#aloy_PrepaidEquityBasedConsultingCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_019f004b-0b03-7bc2-aab9-a941cccc7f57" xlink:to="loc_aloy_PrepaidEquityBasedConsultingCurrent_019f004b-0b03-7beb-b614-67cdbb548f5f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_AdvancePaymentsToResearchCouncilCurrent_019f004b-0b03-7b7d-bbae-d9102c0af8c8" xlink:href="aloy-20260630.xsd#aloy_AdvancePaymentsToResearchCouncilCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_019f004b-0b03-7bc2-aab9-a941cccc7f57" xlink:to="loc_aloy_AdvancePaymentsToResearchCouncilCurrent_019f004b-0b03-7b7d-bbae-d9102c0af8c8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidAdvertising_019f004b-0b03-73b6-909d-098456521d48" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrepaidAdvertising"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_019f004b-0b03-7bc2-aab9-a941cccc7f57" xlink:to="loc_us-gaap_PrepaidAdvertising_019f004b-0b03-73b6-909d-098456521d48" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_PrepaidProfessionalFeesAndOtherCurrent_019f004b-0b03-7a60-8a87-378349463be0" xlink:href="aloy-20260630.xsd#aloy_PrepaidProfessionalFeesAndOtherCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_019f004b-0b03-7bc2-aab9-a941cccc7f57" xlink:to="loc_aloy_PrepaidProfessionalFeesAndOtherCurrent_019f004b-0b03-7a60-8a87-378349463be0" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://realloys.com/role/MineralPropertiesandMachineryandEquipmentandConstructioninProgressScheduleofMineralPropertiesandFixedAssetsDetails" xlink:type="simple" xlink:href="aloy-20260630.xsd#MineralPropertiesandMachineryandEquipmentandConstructioninProgressScheduleofMineralPropertiesandFixedAssetsDetails"/>
  <link:calculationLink xlink:role="http://realloys.com/role/MineralPropertiesandMachineryandEquipmentandConstructioninProgressScheduleofMineralPropertiesandFixedAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_aloy_MineralPropertiesAndFixedAssetsNet_019f004b-0b03-7c83-98ea-301e5ab10b2c" xlink:href="aloy-20260630.xsd#aloy_MineralPropertiesAndFixedAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MineralPropertiesNet_019f004b-0b03-7b8a-a7ee-02ff94113880" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MineralPropertiesNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_aloy_MineralPropertiesAndFixedAssetsNet_019f004b-0b03-7c83-98ea-301e5ab10b2c" xlink:to="loc_us-gaap_MineralPropertiesNet_019f004b-0b03-7b8a-a7ee-02ff94113880" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross_019f004b-0b03-7d7b-98b4-1bc11096f665" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_aloy_MineralPropertiesAndFixedAssetsNet_019f004b-0b03-7c83-98ea-301e5ab10b2c" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentGross_019f004b-0b03-7d7b-98b4-1bc11096f665" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_019f004b-0b03-7824-a9bb-963a66ab31b9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_aloy_MineralPropertiesAndFixedAssetsNet_019f004b-0b03-7c83-98ea-301e5ab10b2c" xlink:to="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_019f004b-0b03-7824-a9bb-963a66ab31b9" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://realloys.com/role/CommitmentsandContingenciesScheduleofOperatingLeaseAssetsandLiabilitiesDetails" xlink:type="simple" xlink:href="aloy-20260630.xsd#CommitmentsandContingenciesScheduleofOperatingLeaseAssetsandLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://realloys.com/role/CommitmentsandContingenciesScheduleofOperatingLeaseAssetsandLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_019f004b-0baa-783c-89fa-c759d58690ec" 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_OperatingLeaseLiabilityCurrent_019f004b-0baa-70b8-bfe7-e6736f1ea676" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_019f004b-0baa-783c-89fa-c759d58690ec" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_019f004b-0baa-70b8-bfe7-e6736f1ea676" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_019f004b-0baa-7aab-9130-268a11e1515e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_019f004b-0baa-783c-89fa-c759d58690ec" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_019f004b-0baa-7aab-9130-268a11e1515e" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://realloys.com/role/CommitmentsandContingenciesScheduleofSRCArrangementsDetails" xlink:type="simple" xlink:href="aloy-20260630.xsd#CommitmentsandContingenciesScheduleofSRCArrangementsDetails"/>
  <link:calculationLink xlink:role="http://realloys.com/role/CommitmentsandContingenciesScheduleofSRCArrangementsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitment_019ff07f-4c3f-7438-b709-c9a0bc32284d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitment"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_OtherCommitmentAdvancesPaid_019ff07f-4c3f-744f-9b60-4d61c8ec5dfc" xlink:href="aloy-20260630.xsd#aloy_OtherCommitmentAdvancesPaid"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019ff07f-4c3f-7438-b709-c9a0bc32284d" xlink:to="loc_aloy_OtherCommitmentAdvancesPaid_019ff07f-4c3f-744f-9b60-4d61c8ec5dfc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_aloy_OtherCommitmentsRemainingCommitments_019ff07f-4c3f-7ffd-92f7-73c02edbfa1e" xlink:href="aloy-20260630.xsd#aloy_OtherCommitmentsRemainingCommitments"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019ff07f-4c3f-7438-b709-c9a0bc32284d" xlink:to="loc_aloy_OtherCommitmentsRemainingCommitments_019ff07f-4c3f-7ffd-92f7-73c02edbfa1e" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://realloys.com/role/CommitmentsandContingenciesScheduleofSRCArrangementsMaturityDetails" xlink:type="simple" xlink:href="aloy-20260630.xsd#CommitmentsandContingenciesScheduleofSRCArrangementsMaturityDetails"/>
  <link:calculationLink xlink:role="http://realloys.com/role/CommitmentsandContingenciesScheduleofSRCArrangementsMaturityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitment_019fd79e-70d1-7ad2-bca6-06bb6f9b0947" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsFutureMinimumPaymentsRemainderOfFiscalYear_019fd79e-70d1-7d30-ada7-97c0c6f53de8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentsFutureMinimumPaymentsRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019fd79e-70d1-7ad2-bca6-06bb6f9b0947" xlink:to="loc_us-gaap_OtherCommitmentsFutureMinimumPaymentsRemainderOfFiscalYear_019fd79e-70d1-7d30-ada7-97c0c6f53de8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInNextTwelveMonths_019fdcf8-bc3a-7d12-804e-d93da159a0c8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019fd79e-70d1-7ad2-bca6-06bb6f9b0947" xlink:to="loc_us-gaap_OtherCommitmentDueInNextTwelveMonths_019fdcf8-bc3a-7d12-804e-d93da159a0c8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInSecondYear_019ff07e-748d-7e82-a41f-481aabbf58cd" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInSecondYear"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019fd79e-70d1-7ad2-bca6-06bb6f9b0947" xlink:to="loc_us-gaap_OtherCommitmentDueInSecondYear_019ff07e-748d-7e82-a41f-481aabbf58cd" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://realloys.com/role/LossperShareScheduleofEarningsLossperShareDetails" xlink:type="simple" xlink:href="aloy-20260630.xsd#LossperShareScheduleofEarningsLossperShareDetails"/>
  <link:calculationLink xlink:role="http://realloys.com/role/LossperShareScheduleofEarningsLossperShareDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_019f004b-0baa-7485-94a8-e94a5a05758f" 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_NetIncomeLossAvailableToCommonStockholdersBasic_019f004b-0baa-7509-a50d-da3800a4fb9b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_019f004b-0baa-7485-94a8-e94a5a05758f" xlink:to="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_019f004b-0baa-7509-a50d-da3800a4fb9b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_019f004b-0baa-76bb-b95e-20653cb5de6b" 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_NetIncomeLoss_019f004b-0baa-7dbd-9a67-9f0587ab0758" 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="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_019f004b-0baa-76bb-b95e-20653cb5de6b" xlink:to="loc_us-gaap_NetIncomeLoss_019f004b-0baa-7dbd-9a67-9f0587ab0758" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TemporaryEquityDividendsAdjustment_019f004b-0baa-7d51-bf05-6f74cecfa148" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TemporaryEquityDividendsAdjustment"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_019f004b-0baa-76bb-b95e-20653cb5de6b" xlink:to="loc_us-gaap_TemporaryEquityDividendsAdjustment_019f004b-0baa-7d51-bf05-6f74cecfa148" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
