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Goodwill and Intangible Assets (Details) - USD ($) | 1 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 31, 2023 | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items] |  |  |  |
Payment to acquire intangible assets |  | $ 250,000 | $ 0 | $ 0
Goodwill |  | 1,000,000.0 |  |
Impairment of goodwill |  | $ 0 | $ 0 | $ 0
Intellectual Property |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |
Intangible asset acquisition, consideration | $ 500,000 |  |  |
Payment to acquire intangible assets | $ 250,000 |  |  |

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