chore(repo): Upgrade to TypeScript 6.0 #29054

Job	Run time
Check Permissions	6s
Build Packages	1m 10s
Formatting \| Dedupe \| Changeset	1m 5s
Static analysis	1m 11s
Publish with pkg-pr-new	1m 7s
Unit Tests (**)	2m 6s
Unit Tests (**)	2m 7s
Integration Tests (sessions, chrome)	2m 13s
Integration Tests (fastify, chrome)	1m 48s
Integration Tests (sessions:staging, chrome)	2m 26s
Integration Tests (handshake:staging, chrome)	1m 28s
Integration Tests (ap-flows, chrome)	2m 2s
Integration Tests (custom, chrome)	1m 59s
Integration Tests (vue, chrome)	1m 56s
Integration Tests (generic, chrome)	6m 3s
Integration Tests (tanstack-react-start, chrome)	1m 37s
Integration Tests (express, chrome)	1m 38s
Integration Tests (astro, chrome)	3m 15s
Integration Tests (react-router, chrome)	1m 47s
Integration Tests (nuxt, chrome)	2m 15s
Integration Tests (hono, chrome)	1m 53s
Integration Tests (nextjs, chrome, 15)	6m 5s
Integration Tests (chrome-extension, chrome)	1m 46s
Integration Tests (localhost, chrome)	1m 43s
Integration Tests (quickstart, chrome, 15)	2m 10s
Integration Tests (quickstart, chrome, 16)	2m 19s
Integration Tests (cache-components, chrome, 16)	1m 45s
Integration Tests (handshake, chrome)	1m 25s
Integration Tests (billing, chrome)	3m 50s
Integration Tests (nextjs, chrome, 16)	5m 49s
Integration Tests (machine, chrome)	4m 51s
	1h 12m 55s

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