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Long Term Debt - Texas Capital Bank Revolver Loan - Additional Information (Details) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2023
Sep. 30, 2022
Nov. 03, 2016
Debt Instrument [Line Items]      
Letter of credit effective rate 6.79%    
Texas Capital Bank Revolver Loan      
Debt Instrument [Line Items]      
Credit line maximum     $ 12.0
Credit line expiration period 5 years    
Debt periodic frequency monthly    
Credit balance outstanding $ 7.5 $ 9.4