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

eslint.config.js

@@ -1,5 +1,6 @@
 import globals from "globals";
-import pluginVue from "eslint-plugin-vue";
+import tseslint from "@typescript-eslint/eslint-plugin";
+import tsParser from "@typescript-eslint/parser";
 
 export default [
   {
@@ -11,22 +12,32 @@ export default [
       "build/**",
     ],
   },
-  ...pluginVue.configs["flat/essential"],
   {
+    files: ["**/*.{ts,tsx}"],
     languageOptions: {
+      parser: tsParser,
+      parserOptions: {
+        ecmaVersion: "latest",
+        sourceType: "module",
+        ecmaFeatures: {
+          jsx: true,
+        },
+      },
       globals: {
         ...globals.browser,
         ...globals.node,
-        Alpine: "readonly",
-        $: "readonly",
-        jQuery: "readonly",
       },
     },
+    plugins: {
+      "@typescript-eslint": tseslint,
+    },
     rules: {
       "no-console": "warn",
       "no-debugger": "warn",
-      "vue/multi-word-component-names": "off",
-      "vue/no-v-html": "off",
+      "@typescript-eslint/no-unused-vars": [
+        "warn",
+        { argsIgnorePattern: "^_" },
+      ],
     },
   },
 ];