Net Earnings (Loss) Per Share (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended						8 Months Ended
	Jan. 07, 2024	Oct. 15, 2023	Jul. 23, 2023	Jan. 01, 2023	Oct. 09, 2022	Jul. 17, 2022	Jan. 07, 2024	Jan. 01, 2023
Numerator:
Net (loss) income	$ 12,248	$ (7,283)	$ (3,046)	$ (392)	$ (3,390)	$ 5,035	$ 1,919	$ 1,253
Cumulative unpaid dividends on Series I redeemable convertible preferred stock	(350)			0			(878)	0
Change in redemption amount of redeemable convertible preferred stock	0			0			(1,423)	0
Net income (loss) attributable to common stockholders	11,898			(392)			(382)	1,253
Net income (loss) attributable to common stockholders	11,898			(392)			(382)	1,253
Earnings allocated to participating securities	(6,419)			0			0	0
Net income (loss) available to common stockholders, basic	5,479			(392)			(382)	1,253
Earnings allocated to participating securities	6,419			0			0	0
Impact of assumed conversions	361			0			0	33
Net income (loss) available to common stockholders, diluted	$ 12,259			$ (392)			$ (382)	$ 1,286
Denominator:
Weighted average common shares outstanding, basic (in shares)	15,784,141,000			11,408,369,000			13,324,330,000	11,404,578,000
Dilutive awards outstanding (in shares)	21,276,865,000			0			0	20,288,299,000
Weighted average common shares outstanding, diluted (in shares)	37,061,006,000			11,408,369,000			13,324,330,000	31,692,877,000
Earnings (loss) per share:
Basic (in dollars per share)	$ 0.35			$ (0.03)			$ (0.03)	$ 0.11
Diluted (in dollars per share)	$ 0.33			$ (0.03)			$ (0.03)	$ 0.04