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Business Organization and Nature of Operations (Details)	Sep. 30, 2025
Beijing Lianzhong Zhihe Technology Co [Member]
Subsidiary, Sale of Stock [Line Items]
Subsidiary owned percentage	40.00%
Skyline Music Entertainment Limited [Member]
Subsidiary, Sale of Stock [Line Items]
Subsidiary owned percentage	51.00%

X

- Definition

The equity interest of noncontrolling shareholders, partners or other equity holders in consolidated entity.

+ References

No definition available.

+ Details

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X

- Definition

The parent entity's interest in net assets of the subsidiary, expressed as a percentage.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
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X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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X

- Details

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Namespace Prefix:
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Period Type:

X

- Details

Name:	srt_OwnershipAxis=agae_SkylineMusicEntertainmentLimitedMember
Namespace Prefix:
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Period Type: