Net Loss per Share - Narrative (Details) - shares	Jan. 29, 2026	Oct. 03, 2025
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Shares issued and issuable upon conversion of common units	99,558,713
Conversion of restricted stock into shares of common stock (in shares)	2,147,313	2,147,313
Common Stock | Common stock
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Conversion of common units into shares of common stock	95,141,928
Common Stock | Unrestricted common stock
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Conversion of common units into shares of common stock	2,269,473