chore(repo): Upgrade to TypeScript 6.0 #29065

Job	Run time
Check Permissions	6s
Build Packages	1m 2s
Formatting \| Dedupe \| Changeset	1m 7s
Publish with pkg-pr-new	1m 3s
Static analysis	1m 22s
Unit Tests (**)	2m 5s
Unit Tests (**)	2m 10s
Integration Tests (tanstack-react-start, chrome)	1m 40s
Integration Tests (nuxt, chrome)	2m 16s
Integration Tests (fastify, chrome)	1m 36s
Integration Tests (astro, chrome)	3m 14s
Integration Tests (custom, chrome)	2m 5s
Integration Tests (generic, chrome)	5m 32s
Integration Tests (handshake:staging, chrome)	1m 18s
Integration Tests (hono, chrome)	1m 39s
Integration Tests (sessions:staging, chrome)	2m 29s
Integration Tests (chrome-extension, chrome)	1m 38s
Integration Tests (vue, chrome)	1m 46s
Integration Tests (cache-components, chrome, 16)	1m 38s
Integration Tests (billing, chrome)	4m 12s
Integration Tests (quickstart, chrome, 16)	2m 20s
Integration Tests (machine, chrome)	5m 15s
Integration Tests (nextjs, chrome, 16)	5m 22s
Integration Tests (handshake, chrome)	1m 17s
Integration Tests (react-router, chrome)	1m 55s
Integration Tests (nextjs, chrome, 15)	5m 40s
Integration Tests (quickstart, chrome, 15)	2m 16s
Integration Tests (ap-flows, chrome)	2m 0s
Integration Tests (localhost, chrome)	1m 39s
Integration Tests (sessions, chrome)	2m 20s
Integration Tests (express, chrome)	1m 37s
	1h 11m 39s

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