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

resources/js/ssr.tsx

@@ -0,0 +1,16 @@
+import { createInertiaApp } from "@inertiajs/react";
+import { createRoot } from "react-dom/client";
+import type { ComponentType } from "react";
+
+createInertiaApp({
+  resolve: (name: string) => {
+    const pages = import.meta.glob<{ default: ComponentType<unknown> }>(
+      "./pages/**/*.tsx",
+      { eager: true },
+    );
+    return pages[`./pages/${name}.tsx`];
+  },
+  setup({ el, App, props }) {
+    createRoot(el).render(<App {...props} />);
+  },
+});