<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.26.1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>170</ContextCount>
  <ElementCount>218</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>true</FootnotesReported>
  <SegmentCount>66</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>6</UnitCount>
  <MyReports>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>995300 - Document - Cover</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/Cover</Role>
      <ShortName>Cover</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>995301 - Statement - Unaudited Interim Condensed Consolidated Balance Sheets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/UnauditedInterimCondensedConsolidatedBalanceSheets</Role>
      <ShortName>Unaudited Interim Condensed Consolidated Balance Sheets</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>995302 - Statement - Unaudited Interim Condensed Consolidated Balance Sheets (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/UnauditedInterimCondensedConsolidatedBalanceSheetsParentheticals</Role>
      <ShortName>Unaudited Interim Condensed Consolidated Balance Sheets (Parentheticals)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>995303 - Statement - Unaudited Interim Condensed Consolidated Statements of Loss</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/UnauditedInterimCondensedConsolidatedStatementsofLoss</Role>
      <ShortName>Unaudited Interim Condensed Consolidated Statements of Loss</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>995304 - Statement - Unaudited Interim Condensed Consolidated Statements of Changes in Shareholders’ Equity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/UnauditedInterimCondensedConsolidatedStatementsofChangesinShareholdersEquity</Role>
      <ShortName>Unaudited Interim Condensed Consolidated Statements of Changes in Shareholders’ Equity</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>995305 - Statement - Unaudited Interim Condensed Consolidated Statements of Cash Flows</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/UnauditedInterimCondensedConsolidatedStatementsofCashFlows</Role>
      <ShortName>Unaudited Interim Condensed Consolidated Statements of Cash Flows</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>995306 - Disclosure - Nature of business and organization</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/Natureofbusinessandorganization</Role>
      <ShortName>Nature of business and organization</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>995307 - Disclosure - Liquidity and Going Concern</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/LiquidityandGoingConcern</Role>
      <ShortName>Liquidity and Going Concern</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>995308 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/SummaryofSignificantAccountingPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>995309 - Disclosure - Revenues</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/Revenues</Role>
      <ShortName>Revenues</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>995310 - Disclosure - Accounts Receivable, Net</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/AccountsReceivableNet</Role>
      <ShortName>Accounts Receivable, Net</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>995311 - Disclosure - Prepayments</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/Prepayments</Role>
      <ShortName>Prepayments</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>995312 - Disclosure - Property and Equipment, Net</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/PropertyandEquipmentNet</Role>
      <ShortName>Property and Equipment, Net</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>995313 - Disclosure - Accounts payable, other payables and accrued liabilities</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/Accountspayableotherpayablesandaccruedliabilities</Role>
      <ShortName>Accounts payable, other payables and accrued liabilities</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>995314 - Disclosure - Loans Payable — Financial Institution</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/LoansPayableFinancialInstitution</Role>
      <ShortName>Loans Payable — Financial Institution</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>995315 - Disclosure - Related Party Balances and Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/RelatedPartyBalancesandTransactions</Role>
      <ShortName>Related Party Balances and Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>16</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>995316 - Disclosure - Taxes</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/Taxes</Role>
      <ShortName>Taxes</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>17</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>995317 - Disclosure - Equity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/Equity</Role>
      <ShortName>Equity</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>18</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>995318 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/CommitmentsandContingencies</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>19</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>995319 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/SubsequentEvents</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>20</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>996320 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/SummaryofSignificantAccountingPoliciesPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/SummaryofSignificantAccountingPolicies</ParentRole>
      <Position>21</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>996321 - Disclosure - Nature of business and organization (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/NatureofbusinessandorganizationTables</Role>
      <ShortName>Nature of business and organization (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/Natureofbusinessandorganization</ParentRole>
      <Position>22</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>996322 - Disclosure - Summary of Significant Accounting Policies (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/SummaryofSignificantAccountingPoliciesTables</Role>
      <ShortName>Summary of Significant Accounting Policies (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/SummaryofSignificantAccountingPolicies</ParentRole>
      <Position>23</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>996323 - Disclosure - Revenues (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/RevenuesTables</Role>
      <ShortName>Revenues (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/Revenues</ParentRole>
      <Position>24</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>996324 - Disclosure - Accounts Receivable, Net (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/AccountsReceivableNetTables</Role>
      <ShortName>Accounts Receivable, Net (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/AccountsReceivableNet</ParentRole>
      <Position>25</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>996325 - Disclosure - Prepayments (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/PrepaymentsTables</Role>
      <ShortName>Prepayments (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/Prepayments</ParentRole>
      <Position>26</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>996326 - Schedule - Property and Equipment, Net (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/PropertyandEquipmentNetTables</Role>
      <ShortName>Property and Equipment, Net (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/PropertyandEquipmentNet</ParentRole>
      <Position>27</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>996327 - Disclosure - Accounts payable, other payables and accrued liabilities (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/AccountspayableotherpayablesandaccruedliabilitiesTables</Role>
      <ShortName>Accounts payable, other payables and accrued liabilities (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/Accountspayableotherpayablesandaccruedliabilities</ParentRole>
      <Position>28</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>996328 - Disclosure - Taxes (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/TaxesTables</Role>
      <ShortName>Taxes (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/Taxes</ParentRole>
      <Position>29</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>996329 - Disclosure - Nature of Business and Organization (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/NatureofBusinessandOrganizationDetails</Role>
      <ShortName>Nature of Business and Organization (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>30</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>996330 - Disclosure - Nature of Business and Organization - Schedule of Consolidated Financial Statements of Reflect Activities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/NatureofBusinessandOrganizationScheduleofConsolidatedFinancialStatementsofReflectActivitiesDetails</Role>
      <ShortName>Nature of Business and Organization - Schedule of Consolidated Financial Statements of Reflect Activities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>31</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>996331 - Disclosure - Liquidity and Going Concern (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/LiquidityandGoingConcernDetails</Role>
      <ShortName>Liquidity and Going Concern (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/LiquidityandGoingConcern</ParentRole>
      <Position>32</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>996332 - Disclosure - Summary of Significant Accounting Policies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/SummaryofSignificantAccountingPoliciesDetails</Role>
      <ShortName>Summary of Significant Accounting Policies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/SummaryofSignificantAccountingPoliciesTables</ParentRole>
      <Position>33</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R34.htm</HtmlFileName>
      <LongName>996333 - Disclosure - Summary of Significant Accounting Policies  - Schedule of Estimated Useful Lives (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/SummaryofSignificantAccountingPoliciesScheduleofEstimatedUsefulLivesDetails</Role>
      <ShortName>Summary of Significant Accounting Policies  - Schedule of Estimated Useful Lives (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>34</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R35.htm</HtmlFileName>
      <LongName>996334 - Disclosure - Revenues - Schedule of Revenues Disaggregated by Service Lines and Timing of Revenue Recognition (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/RevenuesScheduleofRevenuesDisaggregatedbyServiceLinesandTimingofRevenueRecognitionDetails</Role>
      <ShortName>Revenues - Schedule of Revenues Disaggregated by Service Lines and Timing of Revenue Recognition (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>35</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R36.htm</HtmlFileName>
      <LongName>996335 - Disclosure - Accounts Receivable, Net - Schedule of Accounts Receivable, Net (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/AccountsReceivableNetScheduleofAccountsReceivableNetDetails</Role>
      <ShortName>Accounts Receivable, Net - Schedule of Accounts Receivable, Net (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>36</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R37.htm</HtmlFileName>
      <LongName>996336 - Disclosure - Accounts Receivable, Net - Schedule of Changes in Allowance for Credit Losses (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/AccountsReceivableNetScheduleofChangesinAllowanceforCreditLossesDetails</Role>
      <ShortName>Accounts Receivable, Net - Schedule of Changes in Allowance for Credit Losses (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>37</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R38.htm</HtmlFileName>
      <LongName>996337 - Disclosure - Prepayments - Schedule of Prepayments (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/PrepaymentsScheduleofPrepaymentsDetails</Role>
      <ShortName>Prepayments - Schedule of Prepayments (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>38</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R39.htm</HtmlFileName>
      <LongName>996338 - Disclosure - Property and Equipment, Net (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/PropertyandEquipmentNetDetails</Role>
      <ShortName>Property and Equipment, Net (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/PropertyandEquipmentNetTables</ParentRole>
      <Position>39</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R40.htm</HtmlFileName>
      <LongName>996339 - Disclosure - Property and Equipment, Net - Schedule of Property and Equipment (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/PropertyandEquipmentNetScheduleofPropertyandEquipmentDetails</Role>
      <ShortName>Property and Equipment, Net - Schedule of Property and Equipment (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>40</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R41.htm</HtmlFileName>
      <LongName>996340 - Disclosure - Accounts Payable, Other Payables and Accrued Liabilities - Schedule of Accounts Payable, Other Payables and Accrued Liabilities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/AccountsPayableOtherPayablesandAccruedLiabilitiesScheduleofAccountsPayableOtherPayablesandAccruedLiabilitiesDetails</Role>
      <ShortName>Accounts Payable, Other Payables and Accrued Liabilities - Schedule of Accounts Payable, Other Payables and Accrued Liabilities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>41</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R42.htm</HtmlFileName>
      <LongName>996341 - Disclosure - Loans Payable — Financial Institution (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/LoansPayableFinancialInstitutionDetails</Role>
      <ShortName>Loans Payable — Financial Institution (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/LoansPayableFinancialInstitution</ParentRole>
      <Position>42</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R43.htm</HtmlFileName>
      <LongName>996342 - Disclosure - Related Party Balances and Transactions - Schedule of Amount Due to Directors (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/RelatedPartyBalancesandTransactionsScheduleofAmountDuetoDirectorsDetails</Role>
      <ShortName>Related Party Balances and Transactions - Schedule of Amount Due to Directors (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>43</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R44.htm</HtmlFileName>
      <LongName>996343 - Disclosure - Taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/TaxesDetails</Role>
      <ShortName>Taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/TaxesTables</ParentRole>
      <Position>44</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R45.htm</HtmlFileName>
      <LongName>996344 - Disclosure - Taxes - Schedule of Components of Provision for Income Taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/TaxesScheduleofComponentsofProvisionforIncomeTaxesDetails</Role>
      <ShortName>Taxes - Schedule of Components of Provision for Income Taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>45</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R46.htm</HtmlFileName>
      <LongName>996345 - Disclosure - Taxes - Schedule of Reconciliation between Actual Provision for Income Taxes and Singapore Statutory Rate (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/TaxesScheduleofReconciliationbetweenActualProvisionforIncomeTaxesandSingaporeStatutoryRateDetails</Role>
      <ShortName>Taxes - Schedule of Reconciliation between Actual Provision for Income Taxes and Singapore Statutory Rate (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>46</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R47.htm</HtmlFileName>
      <LongName>996346 - Disclosure - Taxes - Schedule of Income Taxes Payable (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/TaxesScheduleofIncomeTaxesPayableDetails</Role>
      <ShortName>Taxes - Schedule of Income Taxes Payable (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>47</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R48.htm</HtmlFileName>
      <LongName>996347 - Disclosure - Equity (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/EquityDetails</Role>
      <ShortName>Equity (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/Equity</ParentRole>
      <Position>48</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R49.htm</HtmlFileName>
      <LongName>996348 - Disclosure - Commitments and Contingencies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/CommitmentsandContingenciesDetails</Role>
      <ShortName>Commitments and Contingencies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/CommitmentsandContingencies</ParentRole>
      <Position>49</Position>
    </Report>
    <Report instance="ea0297366-6k_republic.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R50.htm</HtmlFileName>
      <LongName>996349 - Disclosure - Subsequent Events (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://republicpower.net.com/20251231/role/SubsequentEventsDetails</Role>
      <ShortName>Subsequent Events (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://republicpower.net.com/20251231/role/SubsequentEvents</ParentRole>
      <Position>50</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="6-K" isDefinitelyFs="true" isUsgaap="true" original="ea0297366-6k_republic.htm">ea0297366-6k_republic.htm</File>
    <File doctype="6-K" isDefinitelyFs="true" isUsgaap="true" original="ea029736601ex99-1.htm">ea029736601ex99-1.htm</File>
    <File>rpgl-20251231.xsd</File>
    <File>rpgl-20251231_cal.xml</File>
    <File>rpgl-20251231_def.xml</File>
    <File>rpgl-20251231_lab.xml</File>
    <File>rpgl-20251231_pre.xml</File>
  </InputFiles>
  <SupplementalFiles/>
  <BaseTaxonomies>
    <BaseTaxonomy items="594">http://fasb.org/us-gaap/2026</BaseTaxonomy>
    <BaseTaxonomy items="10">http://xbrl.sec.gov/dei/2026</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>true</HasCalculationLinkbase>
</FilingSummary>
