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FINANCIAL INSTRUMENTS WITH OFF-BALANCE-SHEET RISK (Details) - USD ($)	Sep. 30, 2025	Sep. 30, 2024
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