{"cik":2092897,"taxonomy":"us-gaap","tag":"ShareBasedCompensation","label":"Share-based Payment Arrangement, Noncash Expense","description":"Amount of noncash expense for share-based payment arrangement.","entityName":"ARMADA ACQUISITION CORP. III","units":{"USD":[{"start":"2026-01-01","end":"2026-03-31","val":82535,"accn":"0001193125-26-214833","fy":2026,"fp":"Q1","form":"10-Q","filed":"2026-05-08","frame":"CY2026Q1"}]}}