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Share-Based Compensation - Fair value assumptions related to the 2019 Plan (Details) - 2019 Plan - Employee and Non Employee Stock Option
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2020
Shareholders' Equity and Share-Based Payments      
Expected volatility 55.10%    
Weighted average risk-free interest rate 3.70%    
Expected lives (years) 5 years 3 months 18 days 0 years 0 years