Migrate JavaScript to TypeScript with full type safety

- Rename all .js/.jsx files to .ts/.tsx across resources/js and theme dirs
- Add TypeScript 6.0 with strict mode, tsconfig.json
- Add type definitions for Inertia page props, Alpine.js, Turbolinks
- Update vite.config.js entries to .ts/.tsx extensions
- Update all Blade @vite() calls to match new .ts/.tsx entry points
- Add TypeScript ESLint config (replacing unused Vue plugin)
- Add @types/react, @types/react-dom, @types/lodash
- Add typecheck script and integrate into check pipeline
- Full tsc --noEmit, ESLint, and production build pass cleanly

tsconfig.json

@@ -0,0 +1,30 @@
+{
+  "compilerOptions": {
+    "target": "ESNext",
+    "lib": ["DOM", "DOM.Iterable", "ESNext"],
+    "module": "ESNext",
+    "moduleResolution": "bundler",
+    "jsx": "react-jsx",
+    "strict": true,
+    "noUnusedLocals": false,
+    "noUnusedParameters": false,
+    "noFallthroughCasesInSwitch": true,
+    "skipLibCheck": true,
+    "esModuleInterop": true,
+    "allowSyntheticDefaultImports": true,
+    "forceConsistentCasingInFileNames": true,
+    "resolveJsonModule": true,
+    "isolatedModules": true,
+    "paths": {
+      "@/*": ["./resources/js/*"]
+    },
+    "types": ["vite/client"]
+  },
+  "include": [
+    "resources/js/**/*.ts",
+    "resources/js/**/*.tsx",
+    "resources/js/**/*.d.ts",
+    "resources/themes/atom/js/**/*.ts",
+    "resources/themes/dusk/js/**/*.ts"
+  ]
+}