Sweeps the example code that creating-a-client.mdx and other auth docs
pull via $CodeSample, so the rendered pages match the "use getClaims()"
guidance. Also adds Database type stubs and parameterizes
SupabaseClient<Database> across SvelteKit and Hono examples.
Fixes#40985
<!-- This is an auto-generated comment: release notes by coderabbit.ai
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## Summary by CodeRabbit
## Release Notes
* **Documentation**
* Updated OAuth server getting-started guide to use a claims-based
consent/auth gate and preserve the authorization identifier on redirect.
* Added the `auth_methods` partial across framework sections in the
server-side “creating a client” guide.
* **Refactor**
* Updated authentication examples for Hono, Next.js, and SvelteKit to
rely on JWT claims for logged-in checks and protected routes.
* Streamlined example auth state and UI rendering to use claims-derived
information.
* **Type Updates**
* Improved TypeScript typing for Supabase clients and app auth data
across examples, including generated database type stubs.
<!-- end of auto-generated comment: release notes by coderabbit.ai -->
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Co-authored-by: Chris Chinchilla <chris@chrischinchilla.com>
