Commitments and Contingencies (Details) - USD ($) |
3 Months Ended | ||||||
|---|---|---|---|---|---|---|---|
Oct. 24, 2025 |
Oct. 30, 2024 |
Oct. 04, 2024 |
Aug. 28, 2024 |
Oct. 04, 2023 |
Mar. 31, 2026 |
Mar. 31, 2025 |
|
| Commitments and Contingencies [Line Items] | |||||||
| Aggregate lease expense | $ 447,546 | ||||||
| Chief Executive Officer [Member] | |||||||
| Commitments and Contingencies [Line Items] | |||||||
| Amount of payments due | $ 1,000,000 | ||||||
| In-person [Member] | |||||||
| Commitments and Contingencies [Line Items] | |||||||
| Aggregate lease expense | $ 85,345 | ||||||
| Knighted Pastures, LLC [Member] | |||||||
| Commitments and Contingencies [Line Items] | |||||||
| Attorney fee | $ 3,000,000 | ||||||
| Received reimbursements | $ 3,100,000 | $ 600,000 | |||||
| Fees amount | $ 5,900,000 | ||||||
| Location, Statement of Income, Balance [Axis]: agae:GeneralAndAdministrativeExpensesMember | |||||||
| Commitments and Contingencies [Line Items] | |||||||
| Aggregate lease expense | 97,941 | ||||||
| Location, Statement of Income, Balance [Axis]: agae:GeneralAndAdministrativeExpensesMember | In-person [Member] | |||||||
| Commitments and Contingencies [Line Items] | |||||||
| Aggregate lease expense | $ 349,605 | ||||||