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Basis of Presentation and Summary of Significant Accounting Policies - Dilutive securities (Details) - USD ($)
3 Months Ended
Dec. 31, 2025
Dec. 31, 2024
Performance-based stock options    
Antidilutive securities    
Antidilutive securities 30,000 190,000
Employee Stock Option    
Antidilutive securities    
Antidilutive securities 6,640,881 2,816,851
Common stock warrants    
Antidilutive securities    
Antidilutive securities 35,534,727 14,193,772
Convertible debt    
Antidilutive securities    
Antidilutive securities 13,268,156 1,191,479
Debt conversion rate (in dollars per share) $ 2.26  
Convertible debt | Scenario one    
Antidilutive securities    
Outstanding principal and accrued interest   $ 3,750,000
Debt conversion rate (in dollars per share)   $ 7
Convertible debt | Scenario two    
Antidilutive securities    
Debt conversion rate (in dollars per share)   $ 40