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Land Use Rights, Net - Schedule of Land Use Rights (Details) - USD ($)	Sep. 30, 2025	Dec. 31, 2024
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