chore(repo): Upgrade to TypeScript 6.0 #29056

Job	Run time
Check Permissions	6s
Formatting \| Dedupe \| Changeset	45s
Build Packages	32s
Publish with pkg-pr-new	58s
Unit Tests (**)	1m 4s
Static analysis	54s
Unit Tests (**)	39s
Integration Tests (fastify, chrome)	54s
Integration Tests (express, chrome)	47s
Integration Tests (sessions:staging, chrome)	56s
Integration Tests (localhost, chrome)	48s
Integration Tests (astro, chrome)	55s
Integration Tests (handshake:staging, chrome)	56s
Integration Tests (generic, chrome)	47s
Integration Tests (sessions, chrome)	46s
Integration Tests (handshake, chrome)	47s
Integration Tests (ap-flows, chrome)	55s
Integration Tests (tanstack-react-start, chrome)	53s
Integration Tests (chrome-extension, chrome)	1m 32s
Integration Tests (vue, chrome)	54s
Integration Tests (quickstart, chrome, 15)	55s
Integration Tests (quickstart, chrome, 16)	45s
Integration Tests (nextjs, chrome, 16)	53s
Integration Tests (nextjs, chrome, 15)	45s
Integration Tests (custom, chrome)	1m 3s
Integration Tests (cache-components, chrome, 16)	1m 27s
Integration Tests (billing, chrome)	47s
Integration Tests (hono, chrome)	48s
Integration Tests (react-router, chrome)	55s
Integration Tests (machine, chrome)	55s
Integration Tests (nuxt, chrome)	50s
	26m 51s

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