refactor: migrate project to Vue 3 with TypeScript and Vite

- Updated index.html to use Vite and Vue 3.
- Changed package.json to reflect new dependencies and build scripts.
- Removed old favicon.svg and added new vite.svg.
- Deleted unused PWA assets configuration.
- Created new App.vue component and HelloWorld.vue component.
- Added Vue logo and Vite logo to App.vue.
- Removed old JavaScript files and replaced with TypeScript files.
- Updated styles in style.css for better layout.
- Added TypeScript configuration files for better type checking.
- Migrated Vite configuration from JavaScript to TypeScript.

frontend/package.json

@@ -1,21 +1,23 @@
 {
-  "name": "budget-manager",
+  "name": "frontend",
   "private": true,
   "version": "0.0.0",
   "type": "module",
   "scripts": {
     "dev": "vite",
-    "build": "vite build",
+    "build": "vue-tsc -b && vite build",
     "preview": "vite preview"
   },
-  "devDependencies": {
-    "@vite-pwa/assets-generator": "^0.2.6",
-    "vite": "^6.0.11",
-    "vite-plugin-pwa": "^0.21.1",
-    "workbox-window": "^7.3.0"
+  "dependencies": {
+    "vue": "^3.5.13"
   },
-  "resolutions": {
-    "sharp": "0.32.6",
-    "sharp-ico": "0.1.5"
+  "devDependencies": {
+    "@vitejs/plugin-vue": "^5.2.3",
+    "@vue/tsconfig": "^0.7.0",
+    "prettier": "^3.5.3",
+    "typescript": "~5.8.3",
+    "vite": "^6.3.5",
+    "vite-plugin-pwa": "^1.0.0",
+    "vue-tsc": "^2.2.8"
   }
 }