feat: add Playwright configuration and initial e2e test for authentication

- Created Playwright configuration file to set up testing environment.
- Added a new e2e test for user authentication in login.spec.ts.
- Updated tsconfig.node.json to include playwright.config.ts.
- Enhanced vite.config.ts to include API proxying for backend integration.
- Added a placeholder for last run test results in .last-run.json.

frontend/package.json

@@ -8,7 +8,8 @@
     "build": "tsc --noEmit && tsc --project tsconfig.node.json --noEmit && vite build",
     "preview": "vite preview",
     "lint": "eslint \"src/**/*.{ts,tsx}\"",
-    "format": "prettier --write \"src/**/*.{ts,tsx,css}\""
+    "format": "prettier --write \"src/**/*.{ts,tsx,css}\"",
+    "test:e2e": "playwright test"
   },
   "dependencies": {
     "leaflet": "^1.9.4",
@@ -24,6 +25,7 @@
     "@typescript-eslint/eslint-plugin": "^8.6.0",
     "@typescript-eslint/parser": "^8.6.0",
     "@vitejs/plugin-react": "^4.3.1",
+    "@playwright/test": "^1.48.0",
     "eslint": "^8.57.0",
     "eslint-config-prettier": "^9.1.0",
     "eslint-plugin-import": "^2.31.0",