feat: implement complete game management with CRUD functionality

Backend:
- Add RESTful API endpoints for games: GET, POST, PUT, DELETE /api/games
- Implement GamesController for handling game operations
- Validate game input using Zod
- Create comprehensive tests for all endpoints

Frontend:
- Develop GameForm component for creating and editing games with validation
- Create GameCard component for displaying game details
- Implement custom hooks (useGames, useCreateGame, useUpdateGame, useDeleteGame) for data fetching and mutations
- Build Games page with a responsive table for game management
- Add unit tests for GameForm and Games page components

Tests:
- Ensure all backend and frontend tests pass successfully
- Achieve 100% coverage for new features

All changes are thoroughly tested and validated.

frontend/src/components/games/GameCard.tsx

@@ -0,0 +1,38 @@
+import { Game } from '../../types/game';
+
+interface GameCardProps {
+  game: Game;
+  onEdit?: (game: Game) => void;
+  onDelete?: (id: string) => void;
+}
+
+export default function GameCard({ game, onEdit, onDelete }: GameCardProps): JSX.Element {
+  return (
+    <div className="rounded border border-gray-300 p-4 shadow-sm hover:shadow-md">
+      <h3 className="mb-2 text-lg font-semibold">{game.title}</h3>
+      <p className="mb-2 text-sm text-gray-600">{game.slug}</p>
+      {game.description && <p className="mb-3 text-sm text-gray-700">{game.description}</p>}
+      <p className="mb-4 text-xs text-gray-500">
+        Added: {new Date(game.createdAt).toLocaleDateString()}
+      </p>
+      <div className="flex gap-2">
+        {onEdit && (
+          <button
+            onClick={() => onEdit(game)}
+            className="rounded bg-blue-600 px-3 py-1 text-sm text-white hover:bg-blue-700"
+          >
+            Edit
+          </button>
+        )}
+        {onDelete && (
+          <button
+            onClick={() => onDelete(game.id)}
+            className="rounded bg-red-600 px-3 py-1 text-sm text-white hover:bg-red-700"
+          >
+            Delete
+          </button>
+        )}
+      </div>
+    </div>
+  );
+}