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Warrants - Narrative (Details)			1 Months Ended	3 Months Ended		9 Months Ended		12 Months Ended
	Aug. 24, 2024 USD ($) $ / shares	Jul. 25, 2024 USD ($) $ / shares yr shares	Jul. 31, 2024 $ / shares shares	Sep. 30, 2024 USD ($)	Sep. 30, 2023 USD ($)	Sep. 30, 2024 USD ($)	Sep. 30, 2023 USD ($)	Dec. 31, 2018 $ / shares shares	Aug. 31, 2024 $ / shares	Feb. 29, 2024 shares	Dec. 31, 2023 USD ($) shares
Class of Warrant or Right [Line Items]
Exercise price of warrants (in dollars per share) | $ / shares								$ 14.40
Warrants outstanding, term								10 years
Warrant liability | $				$ 457		$ 457					$ 35,453
Loss on issuance of common stock | $				2,132,800	$ 0	2,132,800	$ 0
Change in fair value of warrant liability | $						$ (4,033,996)	$ (9,350)
Reclass of warrant liability | $	$ (1,900,000)			$ (1,866,200)
Measurement Input, Expected Dividend Rate
Class of Warrant or Right [Line Items]
Derivative liability, measurement input		0
Measurement Input, Price Volatility
Class of Warrant or Right [Line Items]
Derivative liability, measurement input		1.19
Minimum | Measurement Input, Share Price
Class of Warrant or Right [Line Items]
Derivative liability, measurement input | $ / shares		1.14
Minimum | Measurement Input, Risk Free Interest Rate
Class of Warrant or Right [Line Items]
Derivative liability, measurement input		0.0413
Minimum | Measurement Input, Volume Weighted Average Price
Class of Warrant or Right [Line Items]
Derivative liability, measurement input | $ / shares		1.14
Minimum | Measurement Input, Strike Price
Class of Warrant or Right [Line Items]
Derivative liability, measurement input | $ / shares		1.50
Minimum | Measurement Input, Expected Term
Class of Warrant or Right [Line Items]
Derivative liability, measurement input | yr		5.00
Maximum | Measurement Input, Share Price
Class of Warrant or Right [Line Items]
Derivative liability, measurement input | $ / shares		1.40
Maximum | Measurement Input, Risk Free Interest Rate
Class of Warrant or Right [Line Items]
Derivative liability, measurement input		0.0414
Maximum | Measurement Input, Strike Price
Class of Warrant or Right [Line Items]
Derivative liability, measurement input | $ / shares		1.40
Maximum | Measurement Input, Expected Term
Class of Warrant or Right [Line Items]
Derivative liability, measurement input | yr		4.92
Class A Warrant
Class of Warrant or Right [Line Items]
Exercise price of warrants (in dollars per share) | $ / shares		$ 1.50	$ 1.50						$ 0.7043
Warrants outstanding, term		5 years
Warrants issued to underwriters (in shares) | shares		13,330,000	13,330,000
Reset price, number of days following issuance		30 days	30 days
Warrant reset price, percentage of volume weighted average price		1
Class of warrant or right, volume weighted average price, number of trading days		5 days
Reset price, floor (in dollars per share) | $ / shares		$ 0.32
Warrant reset price, floor, percentage of closing stock price		0.20
Reset price (in dollars per share) | $ / shares	$ 0.7043
Class of warrant or right, expiration term		5 years
Class of warrant or right, ownership limitation percentage		4.99%
Class of warrant or right, ownership limitation, election of the holder		9.99%
Warrant liability | $		$ 12,100,000
Loss on issuance of common stock | $		2,100,000
Change in fair value of warrant liability | $	$ 4,000,000.0
Underwriter
Class of Warrant or Right [Line Items]
Warrants outstanding, term				5 years		5 years
Over-Allotment Option | Underwriter
Class of Warrant or Right [Line Items]
Warrants issued to underwriters (in shares) | shares			266,600							22,223	2,000
Follow-On Public Offering
Class of Warrant or Right [Line Items]
Gross proceeds from follow-on public offering | $		$ 10,000,000.0
Common Stock
Class of Warrant or Right [Line Items]
Convertible debt, warrants issued (in shares) | shares								1,596
Warrant
Class of Warrant or Right [Line Items]
Fair value of warrants | $				$ 457		$ 457					$ 35,453

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