feat: Implement a new _auth layout with a dashboard map, refactor the login form, and add logout functionality.

package.json

@@ -31,15 +31,16 @@
     "react": "^19.2.4",
     "react-dom": "^19.2.4",
     "tailwindcss": "^4.2.1",
-    "tw-animate-css": "^1.4.0"
+    "tw-animate-css": "^1.4.0",
+    "zod": "^4.3.6"
   },
   "devDependencies": {
     "@biomejs/biome": "^2.4.6",
     "@inlang/paraglide-js": "^2.13.1",
     "@tanstack/devtools-vite": "^0.5.5",
     "@tanstack/react-devtools": "^0.9.13",
-    "@tanstack/react-router-devtools": "^1.166.7",
     "@tanstack/react-query-devtools": "^5.91.3",
+    "@tanstack/react-router-devtools": "^1.166.7",
     "@testing-library/dom": "^10.4.1",
     "@testing-library/react": "^16.3.2",
     "@types/node": "^22.10.2",