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Land Use Rights, Net - Schedule of Land Use Rights (Details) - USD ($) | Sep. 30, 2025 | Dec. 31, 2024
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Schedule of Land Use Rights [Abstract] |  |
Land use rights | $ 3,881,291 |
Foreign currency translation adjustment | 96,559 |
Less: accumulated amortization | (40,863) |
Total land use rights, net | $ 3,936,987 |

X
- Definition Represent the amount of accumulated amortization of land use right. + References No definition available. + Details
Name: | agae_AccumulatedAmortizationOfLandUseRight
Namespace Prefix: | agae_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Represents the amount of foreign currency transaction adjustment. + References No definition available. + Details
Name: | agae_ForeignCurrencyTransactionAdjustmentLandUseRight
Namespace Prefix: | agae_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Represent the amount of land use right, net. + References No definition available. + Details
Name: | agae_LandUseRightNet
Namespace Prefix: | agae_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Represent the amount of land use rights. + References No definition available. + Details
Name: | agae_LandUseRightsOfGross
Namespace Prefix: | agae_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- References No definition available. + Details
Name: | agae_ScheduleOfLandUseRightsNetAbstract
Namespace Prefix: | agae_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration