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Equity and Stock-Based Compensation - Additional Information (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Stock-based compensation expense $ 500 $ 200 $ 1,155 $ 528