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Share-Based Compensation - Assumptions Used to Determine Fair Value of Options Granted (Details)
9 Months Ended
Mar. 31, 2026
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Dividend yield 0.00%
2023 Omnibus Equity Incentive Plan | Employee Stock Option  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Weighted-average risk free interest rate, Minimum 3.64%
Weighted-average risk free interest rate, Maximum 3.94%
Dividend yield 0.00%
Volatility, Minimum 229.25%
Volatility, Maximum 233.93%
2023 Omnibus Equity Incentive Plan | Employee Stock Option | Minimum  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Expected term (in years) 5 years 8 months 12 days
2023 Omnibus Equity Incentive Plan | Employee Stock Option | Maximum  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Expected term (in years) 6 years 3 months 18 days