feat(graphiql): configure NX, TypeScript, and Vite build for issue #21548

- Add NX project configuration with build/lint/clean targets
- Configure TypeScript with proper composite project setup
- Set up Vite 6.3.6 to output to ../app/assets/graphiql/
- Add root tsconfig.json reference for workspace integration
- Fix TypeScript compilation issues (moduleResolution, type declarations)

Build validation:
- Build succeeds in 4.79s
- TypeScript compilation passes (0 errors)
- Linting passes
- Build outputs to correct location

Orchestrated by: Ravi Kumar (Testing & Build Infrastructure Domain)

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <[email protected]>

Author: amcaplan

tsconfig.json

@@ -10,6 +10,7 @@
       {"path": "./packages/ui-extensions-server-kit"},
       {"path": "./packages/ui-extensions-test-utils"},
       {"path": "./packages/plugin-cloudflare"},
-      {"path": "./packages/plugin-did-you-mean"}
+      {"path": "./packages/plugin-did-you-mean"},
+      {"path": "./packages/graphiql-console"}
     ]
 }