feat(auth): Implement LoginForm, RegisterForm and integrate with App

frontend/package.json

@@ -11,6 +11,7 @@
     "test": "vitest"
   },
   "dependencies": {
+    "@hookform/resolvers": "^5.2.2",
     "@tailwindcss/vite": "^4.1.18",
     "axios": "^1.13.5",
     "class-variance-authority": "^0.7.1",
@@ -19,6 +20,7 @@
     "radix-ui": "^1.4.3",
     "react": "^19.2.0",
     "react-dom": "^19.2.0",
+    "react-hook-form": "^7.71.1",
     "tailwind-merge": "^3.4.0",
     "tailwindcss": "^4.1.18",
     "zod": "^4.3.6"