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Shareholders' Equity and Share-Based Payments - Time Based Stock Options with market based exercisability conditions (Details) - MSOs		3 Months Ended		9 Months Ended
	Jun. 16, 2025 D $ / shares	Jun. 30, 2025 USD ($) shares	Mar. 31, 2025 USD ($) D $ / shares shares	Jun. 30, 2025 USD ($) shares
Shareholders' Equity and Share-Based Payments
Vesting period			4 years
Exercise price \| $ / shares			$ 8.59
Targeted market percentage			15.00%
Options exercisable at the end of the period (in dollars per share) \| $ / shares	$ 9.88		$ 9.88
Threshold consecutive trading days \| D	20		20
Common stock per award			1
Grant date fair value of options \| $			$ 474,998
Weighted-average grant date fair value (in dollars per share) \| $ / shares			$ 4.51
Contractual Term			10 years
Share-based compensation expense \| $		$ 85,111		$ 98,757
Unrecognized compensation cost, related to non-vested stock options \| $		$ 376,243		$ 376,243
Vested (in shares)		0		0
Forfeited (in shares)		0		0
Chief Executive Officer
Shareholders' Equity and Share-Based Payments
Grant of vested stock options			72,062
Chief Financial Officer
Shareholders' Equity and Share-Based Payments
Grant of vested stock options			33,259
Tranche one
Shareholders' Equity and Share-Based Payments
Vesting percentage			25.00%
Tranche two
Shareholders' Equity and Share-Based Payments
Vesting percentage for each quarter			6.25%
Tranche three
Shareholders' Equity and Share-Based Payments
Vesting percentage for each quarter			6.25%
Tranche four
Shareholders' Equity and Share-Based Payments
Vesting percentage for each quarter			6.25%
Minimum
Shareholders' Equity and Share-Based Payments
Vesting period			1 year
Maximum
Shareholders' Equity and Share-Based Payments
Vesting period			4 years