chore(tanstack-start): Update deps & integration tests #10297

Job	Run time
Formatting, linting & changeset checks	1m 58s
Unit Tests (18)	50s
Unit Tests (22)	48s
Integration Tests (generic, chrome)	1m 41s
Integration Tests (express, chrome)	1m 59s
Integration Tests (quickstart, chrome)	1m 42s
Integration Tests (ap-flows, chrome)	1m 44s
Integration Tests (elements, chrome)	1m 46s
Integration Tests (sessions, chrome)	1m 49s
Integration Tests (astro, chrome)	2m 7s
Integration Tests (expo-web, chrome)	1m 43s
Integration Tests (tanstack-start, chrome)	2m 1s
Integration Tests (tanstack-router, chrome)	1m 41s
Integration Tests (vue, chrome)	1m 48s
Integration Tests (nextjs, chrome, 13)	1m 44s
Integration Tests (nextjs, chrome, 14)	1m 43s
Integration Tests (nextjs, chrome, 15)	1m 48s
	28m 52s

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