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Fair Value Measurements - Changes in fair value (Details) - USD ($)
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Fair Value, Liability, Recurring Basis, Unobservable Input Reconciliation, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Fair Value Adjustment of Warrants, Change In Fair Value Of Redemption Feature Fair Value Adjustment of Warrants, Change In Fair Value Of Redemption Feature
Unsecured promissory note (2020)    
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Balance, beginning $ 12,051,581  
Fair value at issuance date   $ 12,051,581
Change in fair value 882,903  
Repayment (12,934,484)  
Balance, ending   12,051,581
Warrant liability    
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Balance, beginning 522,918 70,772
Change in fair value (465,780) 452,146
Balance, ending $ 57,138 $ 522,918