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FINANCIAL INSTRUMENTS WITH OFF-BALANCE-SHEET RISK (Details) - USD ($) | Sep. 30, 2025 | Sep. 30, 2024
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Financial Instruments With Off-Balance-Sheet Risk [Abstract] |  |
Cash pledged | $ 50,000 | $ 0

X
- Definition Represents the value of cash pledged. + References No definition available. + Details
Name: | mgyr_CashPledged
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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