Net Loss per Share - Schedule of Computation of Basic and Diluted Loss Per Share (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended								4 Months Ended	8 Months Ended	12 Months Ended
	Sep. 28, 2024	Jun. 29, 2024	Mar. 30, 2024	Dec. 30, 2023	Sep. 30, 2023	Jun. 24, 2023	Mar. 25, 2023	Dec. 24, 2022	Sep. 24, 2022	Jun. 06, 2022	Sep. 28, 2024		Sep. 30, 2023		Sep. 24, 2022
Numerator - basic and diluted
Net loss	$ 15,954	$ (26,724)	$ (54,830)	$ (19,072)	$ (45,415)	$ (39,077)	$ (55,416)	$ (67,986)	$ (66,955)	$ (72,134)	$ (84,672)		$ (207,894)		$ (139,089)
Less: Net loss attributable to Warehouse Technologies LLC unitholders prior to the Business Combination											0		0		(72,134)
Less: Net loss attributable to the noncontrolling interest post Business Combination	13,118	(22,043)	(46,021)	(16,236)	(39,207)	(34,730)	(49,298)	(60,793)			(71,182)		(184,028)		(60,092)
Net loss attributable to common shareholders	$ 2,836	$ (4,681)	$ (8,809)	$ (2,836)	$ (6,208)	$ (4,347)	$ (6,118)	$ (7,193)			$ (13,490)		$ (23,866)		$ (6,863)
Denominator - basic and diluted
Weighted-average shares of Class A Common Stock outstanding - basic (in shares)											95,697,368		64,338,580		54,086,381
Weighted-average shares of Class A Common Stock outstanding - diluted (in shares)											95,697,368		64,338,580		54,086,381
Loss per share of Class A common stock - basic (in dollars per share)	$ 0.03	$ (0.05)	$ (0.09)	$ (0.03)	$ (0.08)	$ (0.07)	$ (0.10)	$ (0.12)			$ (0.14)	[1]	$ (0.37)	[1]	$ (0.13)	[1]
Loss per share of Class A common stock - diluted (in dollars per share)	$ 0.03	$ (0.05)	$ (0.09)	$ (0.03)	$ (0.08)	$ (0.07)	$ (0.10)	$ (0.12)			$ (0.14)	[1]	$ (0.37)	[1]	$ (0.13)	[1]

[1] Loss per share information has not been presented for periods prior to the Business Combination (as defined in Note 4, Mergers and Acquisitions), as it resulted in values that would not be meaningful to the users of these consolidated financial statements. Refer to Note 4, Mergers and Acquisitions for further information.