feat: refactor frontend routing and authentication

- Changed root div ID from 'root' to 'app' in index.html.
- Updated package.json to include new dependencies for routing and state management.
- Removed App component and replaced it with a router setup in main.tsx.
- Added route definitions for login, about, and index pages.
- Implemented authentication logic using Zustand for state management.
- Created API client with Axios for handling requests and token management.
- Added CORS support in the backend API.
- Updated schema for login requests to use camelCase.

libertas-frontend/package.json

@@ -38,6 +38,10 @@
     "@radix-ui/react-toggle-group": "^1.1.11",
     "@radix-ui/react-tooltip": "^1.2.8",
     "@tailwindcss/vite": "^4.1.17",
+    "@tanstack/react-router": "^1.136.5",
+    "@tanstack/react-router-devtools": "^1.136.5",
+    "@tanstack/react-router-ssr-query": "^1.136.5",
+    "axios": "^1.13.2",
     "class-variance-authority": "^0.7.1",
     "clsx": "^2.1.1",
     "cmdk": "^1.1.1",
@@ -56,10 +60,13 @@
     "tailwind-merge": "^3.4.0",
     "tailwindcss": "^4.1.17",
     "vaul": "^1.1.2",
-    "zod": "^4.1.12"
+    "zod": "^4.1.12",
+    "zustand": "^5.0.8"
   },
   "devDependencies": {
     "@eslint/js": "^9.39.1",
+    "@tanstack/react-query-devtools": "^5.90.2",
+    "@tanstack/router-plugin": "^1.136.5",
     "@types/node": "^24.10.1",
     "@types/react": "^19.2.2",
     "@types/react-dom": "^19.2.2",