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Share-based Compensation - Schedule of Share-based Compensation for the Awards Granted (Details) - USD ($) $ / shares in Units, $ in Thousands		3 Months Ended
	Jul. 29, 2022	Sep. 30, 2023	Oct. 01, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation arrangement vesting period (in year)		3 years
Share-based compensation arrangement expiration period (in year)		5 years
Unrecognized unvested share-based compensation arrangements		$ 300
Weighted average period (in years)		1 year 5 months 15 days
Stock Appreciation Rights (SARs)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
SARs Granted (in dollars per share)	145,000
Strike Price (in dollars per share)	$ 5.10
Fair Value	$ 2.09
Share-based compensation expense		$ 59	$ 40