Implement calendar module

package.json

@@ -15,6 +15,7 @@
     "lint:fix": "eslint . --fix",
     "format": "prettier --write .",
     "format:check": "prettier --check .",
+    "test:e2e": "playwright test",
     "typecheck": "tsc --noEmit",
     "db:generate": "drizzle-kit generate",
     "db:migrate": "drizzle-kit migrate",
@@ -24,6 +25,7 @@
   "devDependencies": {
     "@eslint/eslintrc": "^3.3.5",
     "@eslint/js": "^10.0.1",
+    "@playwright/test": "^1.59.1",
     "@tailwindcss/postcss": "^4.2.4",
     "@types/node": "^22.9.0",
     "@types/react": "^19.2.14",
@@ -34,13 +36,18 @@
     "globals": "^15.12.0",
     "prettier": "^3.3.3",
     "tailwindcss": "^4.2.4",
-    "typescript": "^5.6.3",
     "tsx": "^4.19.4",
+    "typescript": "^5.6.3",
     "typescript-eslint": "^8.15.0"
   },
   "dependencies": {
     "@auth/drizzle-adapter": "^1.11.2",
     "@base-ui/react": "^1.4.1",
+    "@fullcalendar/core": "^6.1.20",
+    "@fullcalendar/daygrid": "^6.1.20",
+    "@fullcalendar/interaction": "^6.1.20",
+    "@fullcalendar/react": "^6.1.20",
+    "@fullcalendar/timegrid": "^6.1.20",
     "class-variance-authority": "^0.7.1",
     "clsx": "^2.1.1",
     "drizzle-orm": "^0.45.2",