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Equity and Stock-Based Compensation - Additional Information (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2025
Mar. 31, 2024
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Stock-based compensation expense $ 300 $ 300 $ 623 $ 667