refactor(shared,clerk-js,react): move QueryClient ownership into @clerk/shared #27600

Job	Run time
Check Permissions	6s
Formatting \| Dedupe \| Changeset	1m 2s
Build Packages	1m 17s
Publish with pkg-pr-new	3s
Unit Tests (**)	3s
Static analysis	3s
Unit Tests (**)	3s
Integration Tests (fastify, chrome)	3s
Integration Tests (sessions, chrome)	3s
Integration Tests (express, chrome)	3s
Integration Tests (sessions:staging, chrome)	3s
Integration Tests (localhost, chrome)	3s
Integration Tests (ap-flows, chrome)	3s
Integration Tests (generic, chrome)	3s
Integration Tests (handshake, chrome)	3s
Integration Tests (handshake:staging, chrome)	3s
Integration Tests (custom, chrome)	3s
Integration Tests (nuxt, chrome)	3s
Integration Tests (tanstack-react-start, chrome)	3s
Integration Tests (hono, chrome)	3s
Integration Tests (machine, chrome)	3s
Integration Tests (chrome-extension, chrome)	3s
Integration Tests (billing, chrome)	3s
Integration Tests (react-router, chrome)	3s
Integration Tests (nextjs, chrome, 15)	3s
Integration Tests (vue, chrome)	3s
Integration Tests (cache-components, chrome, 16)	4s
Integration Tests (quickstart, chrome, 16)	4s
Integration Tests (quickstart, chrome, 15)	3s
Integration Tests (astro, chrome)	3s
Integration Tests (nextjs, chrome, 16)	3s
	3m 51s

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