feat: update auth0 ai vercel to 5.1.0 with ai sdk v6 (#74)

* fix: resolve TypeScript build errors in vercel-react-spa-js server

- Extract input schemas outside tool() calls to improve type inference
- Add explicit type annotations for ListNearbyEventsInput and ListUserCalendarsInput
- Add type assertions (as any) to work around complex type conflicts
- Fix execute function signatures to use typed inputs

These changes resolve the TypeScript compilation memory errors that occurred
during the build process with googleapis v153 type definitions.

* feat: upgrade to AI SDK v6 across all projects

- Upgrade ai package from v5 to v6
- Upgrade @ai-sdk/react from v2 to v3
- Upgrade @ai-sdk/openai from v2 to v3
- Update @auth0/ai-vercel to v5.1.0
- Apply AI SDK v6 codemods across affected files
- Remove unused imports in langchain-fastapi-py frontend
- Update package-lock.json files across all projects

All packages build successfully after upgrade.

Projects updated:
- authenticate-users (langchain-next-js, vercel-ai-next-js, vercel-ai-next-js-starter)
- asynchronous-authorization (langchain-next-js, vercel-ai-next-js, vercel-ai-node-js)
- authorization-for-rag (all projects)
- call-apis-on-users-behalf (all projects including vercel-react-spa-js)
- scripts/update_packages.sh

* feat: update auth0/ai to v6

Author: adam-wang-okta-public

asynchronous-authorization/langchain-next-js/package-lock.json

@@ -25,8 +25,8 @@
     "node": ">=20 <23"
   },
   "dependencies": {
-    "@auth0/ai-langchain": "^4.1.0",
-    "@auth0/nextjs-auth0": "^4.13.0",
+    "@auth0/ai-langchain": "^5.0.0",
+    "@auth0/nextjs-auth0": "^4.14.1",
     "@langchain/community": "^0.3.55",
     "@langchain/core": "^0.3.75",
     "@langchain/langgraph": "^0.4.9",