Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	Sep. 30, 2023	Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020
Deferred tax assets
Research & development tax credit carryforwards	$ 75,593	$ 92,487
Capitalized research & development	63,395	9,420
Accrued expenses and reserves	17,837	8,872
Deferred revenue	15,855	14,170
Operating lease liability	13,097	7,717
Stock-based compensation	7,727	9,261
Foreign net operating loss carryforwards	7,606	7,702
Other capitalized costs	5,364	3,799
Depreciation	2,700	2,239
U.S. net operating loss carryforwards	1,852	26,363
Other	494	182
Total deferred tax assets	211,520	182,212
Valuation allowance	(185,840)	(162,267)	$ (155,978)	$ (113,939)
Deferred tax assets, net of valuation allowance	25,680	19,945
Deferred tax liabilities
Intangibles	(22,475)	(22,125)
Right-of-use asset	(11,392)	(5,940)
Other		(14)
Total deferred tax liabilities	(33,867)	(28,079)
Net deferred tax assets (liabilities)	(8,187)	(8,134)
Deferred tax assets	1,659	1,508
Deferred tax liabilities	$ (9,846)	$ (9,642)