Condensed Consolidated Statements of Changes in Temporary Equity and Stockholders' (Deficit) Equity - USD ($) $ in Thousands	Total	Treasury stock	Additional Paid-in capital	Accumulated deficit	Accumulated other comprehensive income (loss)	Series A preferred stock	Class A common Stock	Class A common Stock Common stock	Class B common Stock	Class B common Stock Common stock
Beginning balance (in shares) at Jul. 02, 2023						136,373
Beginning balance at Jul. 02, 2023						$ 144,329
Ending balance (in shares) at Oct. 01, 2023						136,373
Ending balance at Oct. 01, 2023						$ 144,329
Beginning balance (in shares) at Jul. 02, 2023								107,666,301		60,819,437
Beginning balance at Jul. 02, 2023	$ 155,221	$ (135,401)	$ 506,112	$ (219,659)	$ 4,152			$ 11		$ 6
Beginning balance (in shares) at Jul. 02, 2023		11,312,302
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	18,219			18,219
Foreign currency translation adjustment	(487)				(487)
Unrealized loss on derivatives	(340)				(340)
Conversion of Class B common stock into Class A common stock (in shares)								2,300,000		2,300,000
Share-based compensation (in shares)								15,489
Share-based compensation	1,823		1,823
Repurchase of Class A common stock into Treasury stock (in shares)		(12,131,185)						(12,131,185)
Repurchase of Class A common stock into Treasury stock	(132,663)	$ (132,662)						$ (1)
Ending balance (in shares) at Oct. 01, 2023								97,850,605		58,519,437
Ending balance at Oct. 01, 2023	41,773	$ (268,063)	507,935	(201,440)	3,325			$ 10		$ 6
Ending balance (in shares) at Oct. 01, 2023		23,443,487
Beginning balance (in shares) at Jun. 30, 2024						120,387
Beginning balance at Jun. 30, 2024	127,410					$ 127,410
Increase (Decrease) in Temporary Equity [Roll Forward]
Settlement of Series A preferred stock (in shares)						(3,300)
Settlement of Series A preferred stock						$ (3,492)
Ending balance (in shares) at Sep. 29, 2024						117,087
Ending balance at Sep. 29, 2024	123,918					$ 123,918
Beginning balance (in shares) at Jun. 30, 2024							88,854,487	88,854,487	58,519,437	58,519,437
Beginning balance at Jun. 30, 2024	$ (177,262)	$ (385,015)	510,675	(303,159)	220			$ 11		$ 6
Beginning balance (in shares) at Jun. 30, 2024	34,071,295	34,071,295
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	$ 23,095			23,095
Foreign currency translation adjustment	(985)				(985)
Unrealized loss on derivatives	(709)				(709)
Conversion of Class B common stock into Class A common stock (in shares)							269,886
Settlement of Series A preferred stock (in shares)								269,886
Settlement of Series A preferred stock	3,492		3,492
Share-based compensation (in shares)								26,656
Share-based compensation	4,314		4,314
Cash dividends	(8,552)		(8,552)
Repurchase of Class A common stock into Treasury stock (in shares)		(702,194)					(702,194)	(702,194)
Repurchase of Class A common stock into Treasury stock	(7,720)	$ (7,720)					$ (7,646)
Ending balance (in shares) at Sep. 29, 2024							88,448,835	88,448,835	58,519,437	58,519,437
Ending balance at Sep. 29, 2024	$ (164,327)	$ (392,735)	$ 509,929	$ (280,064)	$ (1,474)			$ 11		$ 6
Ending balance (in shares) at Sep. 29, 2024	34,773,489	34,773,489