chore(repo): Upgrade to TypeScript 6.0 #29073

Job	Run time
Check Permissions	7s
Formatting \| Dedupe \| Changeset	1m 20s
Build Packages	2m 8s
Publish with pkg-pr-new	1m 10s
Unit Tests (**)	1m 49s
Static analysis	4m 2s
Unit Tests (**)	3m 46s
Integration Tests (custom, chrome)	2m 37s
Integration Tests (vue, chrome)	3m 0s
Integration Tests (handshake:staging, chrome)	1m 24s
Integration Tests (sessions, chrome)	2m 12s
Integration Tests (astro, chrome)	3m 18s
Integration Tests (sessions:staging, chrome)	2m 44s
Integration Tests (localhost, chrome)	1m 47s
Integration Tests (express, chrome)	2m 53s
Integration Tests (nextjs, chrome, 16)	5m 47s
Integration Tests (nextjs, chrome, 15)	7m 51s
Integration Tests (generic, chrome)	5m 44s
Integration Tests (billing, chrome)	3m 59s
Integration Tests (react-router, chrome)	2m 30s
Integration Tests (quickstart, chrome, 16)	2m 15s
Integration Tests (ap-flows, chrome)	2m 34s
Integration Tests (machine, chrome)	4m 58s
Integration Tests (fastify, chrome)	1m 33s
Integration Tests (nuxt, chrome)	2m 9s
Integration Tests (hono, chrome)	2m 20s
Integration Tests (quickstart, chrome, 15)	2m 30s
Integration Tests (tanstack-react-start, chrome)	1m 46s
Integration Tests (handshake, chrome)	1m 19s
Integration Tests (chrome-extension, chrome)	1m 42s
Integration Tests (cache-components, chrome, 16)	2m 14s
	1h 25m 28s

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