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

vite.config.js

@@ -10,8 +10,8 @@ export default defineConfig({
     laravel({
       input: [
         "resources/css/global.css",
-        "resources/js/global.js",
-        "resources/js/ssr.jsx",
+        "resources/js/global.ts",
+        "resources/js/ssr.tsx",
         "resources/themes/atom/css/app.css",
         "resources/themes/atom/js/app.js",
         "resources/themes/dusk/css/app.css",