feat: integrate Playwright for E2E testing and enhance testing framework

- Added Playwright for end-to-end testing in the `apps/web` module, including a new `login.spec.ts` for testing login functionality.
- Updated package.json to include Playwright dependencies and new test commands for E2E testing.
- Enhanced .gitignore to exclude Playwright test results and reports.
- Modified existing documentation to reflect the integration of Playwright and updated testing guidelines.
- Refactored test commands to streamline the testing process, including a dedicated command for E2E tests.

These changes improve the testing framework by providing robust E2E testing capabilities, enhancing the reliability and quality of the application.

apps/web/package.json

@@ -8,9 +8,12 @@
     "dev": "pnpm run copy:brand && vite --clearScreen false",
     "build": "pnpm run copy:brand && tsc && vite build",
     "preview": "vite preview",
-    "lint": "eslint \"src/**/*.ts\"",
+    "lint": "eslint \"src/**/*.ts\" \"e2e/**/*.ts\" \"playwright.config.ts\"",
     "test": "vitest run",
     "test:watch": "vitest --watch",
+    "test:e2e": "playwright test",
+    "test:e2e:ui": "playwright test --ui",
+    "test:e2e:install": "playwright install chromium",
     "typecheck": "tsc --noEmit"
   },
   "dependencies": {
@@ -37,6 +40,7 @@
     "zustand": "^5.0.14"
   },
   "devDependencies": {
+    "@playwright/test": "^1.55.0",
     "@repo/eslint-config": "workspace:*",
     "@repo/typescript-config": "workspace:*",
     "@types/react": "^19.2.7",