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Basis of Presentation and Summary of Significant Accounting Policies - Dilutive securities (Details) - USD ($)
3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Performance-based stock units    
Antidilutive securities    
Antidilutive securities   123
Performance-based stock options    
Antidilutive securities    
Antidilutive securities 190,000 35,000
Employee Stock Option    
Antidilutive securities    
Antidilutive securities 2,816,851 1,299,105
Common stock warrants    
Antidilutive securities    
Antidilutive securities 14,193,772 366,427
Convertible debt    
Antidilutive securities    
Antidilutive securities 1,191,479 875,970
Convertible debt | Scenario one    
Antidilutive securities    
Original principal amount $ 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