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Summary of Significant Accounting Policies and Estimates - Short-term Investments (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Short-Term Investments [Roll Forward]    
Beginning balance $ 110,355 $ 0
Contributions / (withdrawals) (111,674) 110,143
Changes in fair market value 1,319 212
Ending balance $ 0 $ 110,355