feat: initialize React app with TanStack Router and Vitest for testing

- Added App component with basic structure and styling.
- Included CSS for app layout and animations.
- Integrated TanStack Router for routing management.
- Set up Vitest for testing with a basic test case for the App component.
- Added logo SVG for branding.
- Configured Vite for development with React and TanStack Devtools.
- Created reportWebVitals utility for performance measurement.
- Established global styles in styles.css.

my-app/public/manifest.json

@@ -0,0 +1,25 @@
+{
+  "short_name": "TanStack App",
+  "name": "Create TanStack App Sample",
+  "icons": [
+    {
+      "src": "favicon.ico",
+      "sizes": "64x64 32x32 24x24 16x16",
+      "type": "image/x-icon"
+    },
+    {
+      "src": "logo192.png",
+      "type": "image/png",
+      "sizes": "192x192"
+    },
+    {
+      "src": "logo512.png",
+      "type": "image/png",
+      "sizes": "512x512"
+    }
+  ],
+  "start_url": ".",
+  "display": "standalone",
+  "theme_color": "#000000",
+  "background_color": "#ffffff"
+}