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

frontend/package-lock.json

@@ -8,6 +8,7 @@
       "name": "frontend",
       "version": "0.0.0",
       "dependencies": {
+        "@hookform/resolvers": "^5.2.2",
         "@tailwindcss/vite": "^4.1.18",
         "axios": "^1.13.5",
         "class-variance-authority": "^0.7.1",
@@ -16,6 +17,7 @@
         "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"
@@ -1177,6 +1179,18 @@
         "hono": "^4"
       }
     },
+    "node_modules/@hookform/resolvers": {
+      "version": "5.2.2",
+      "resolved": "https://registry.npmjs.org/@hookform/resolvers/-/resolvers-5.2.2.tgz",
+      "integrity": "sha512-A/IxlMLShx3KjV/HeTcTfaMxdwy690+L/ZADoeaTltLx+CVuzkeVIPuybK3jrRfw7YZnmdKsVVHAlEPIAEUNlA==",
+      "license": "MIT",
+      "dependencies": {
+        "@standard-schema/utils": "^0.3.0"
+      },
+      "peerDependencies": {
+        "react-hook-form": "^7.55.0"
+      }
+    },
     "node_modules/@humanfs/core": {
       "version": "0.19.1",
       "resolved": "https://registry.npmjs.org/@humanfs/core/-/core-0.19.1.tgz",
@@ -3346,6 +3360,12 @@
       "dev": true,
       "license": "MIT"
     },
+    "node_modules/@standard-schema/utils": {
+      "version": "0.3.0",
+      "resolved": "https://registry.npmjs.org/@standard-schema/utils/-/utils-0.3.0.tgz",
+      "integrity": "sha512-e7Mew686owMaPJVNNLs55PUvgz371nKgwsc4vxE49zsODpJEnxgxRo2y/OKrqueavXgZNMDVj3DdHFlaSAeU8g==",
+      "license": "MIT"
+    },
     "node_modules/@tailwindcss/node": {
       "version": "4.1.18",
       "resolved": "https://registry.npmjs.org/@tailwindcss/node/-/node-4.1.18.tgz",
@@ -8610,6 +8630,22 @@
         "react": "^19.2.4"
       }
     },
+    "node_modules/react-hook-form": {
+      "version": "7.71.1",
+      "resolved": "https://registry.npmjs.org/react-hook-form/-/react-hook-form-7.71.1.tgz",
+      "integrity": "sha512-9SUJKCGKo8HUSsCO+y0CtqkqI5nNuaDqTxyqPsZPqIwudpj4rCrAz/jZV+jn57bx5gtZKOh3neQu94DXMc+w5w==",
+      "license": "MIT",
+      "engines": {
+        "node": ">=18.0.0"
+      },
+      "funding": {
+        "type": "opencollective",
+        "url": "https://opencollective.com/react-hook-form"
+      },
+      "peerDependencies": {
+        "react": "^16.8.0 || ^17 || ^18 || ^19"
+      }
+    },
     "node_modules/react-is": {
       "version": "17.0.2",
       "resolved": "https://registry.npmjs.org/react-is/-/react-is-17.0.2.tgz",