chore: initialize typing-chud project with Unified API structure

- Copy vim-snake structure stripped of game-specific logic
- Remove finalScore calculation (raw data only)
- Setup example app with keybinding state management
- Empty board renders and waits for game logic

example/src/App.tsx

@@ -0,0 +1,52 @@
+import { useEffect, useRef } from "react";
+import { useGame } from "@vimazing/typing-chud";
+import "@vimazing/typing-chud/game.css";
+import type { GameManager } from "@vimazing/typing-chud";
+import { useKeyBindings } from "./useKeyBindings";
+
+function App() {
+  const gameManager = useGame({}, useKeyBindings);
+  const { containerRef, gameStatus, scoreManager, renderBoard } = gameManager;
+  const gameManagerRef = useRef<GameManager>(gameManager);
+
+  useEffect(() => {
+    gameManagerRef.current = gameManager;
+  }, [gameManager]);
+
+  useEffect(() => {
+    renderBoard();
+  }, [renderBoard]);
+
+  const formatTime = (ms: number) => {
+    const seconds = Math.floor(ms / 1000);
+    const minutes = Math.floor(seconds / 60);
+    const remainingSeconds = seconds % 60;
+    return `${minutes}:${remainingSeconds.toString().padStart(2, "0")}`;
+  };
+
+  return (
+    <div className="relative mx-auto my-4 w-fit space-y-4">
+      <h1 className="text-2xl font-bold text-center">Typing Chud</h1>
+
+      <div className="flex gap-4 justify-center text-sm font-mono">
+        <div className="px-3 py-1 bg-muted rounded">
+          Time: {formatTime(scoreManager.timeValue)}
+        </div>
+        <div className="px-3 py-1 bg-muted rounded">
+          Keystrokes: {scoreManager.totalKeystrokes}
+        </div>
+      </div>
+
+      <div ref={containerRef} className="relative" />
+
+      <div className="text-center text-sm text-muted-foreground">
+        {gameStatus === "waiting" && <p>Press <kbd className="px-2 py-1 bg-muted rounded">space</kbd> to start</p>}
+        {gameStatus === "started" && <p>Game running...</p>}
+        {gameStatus === "game-over" && <p>Game Over! Press <kbd className="px-2 py-1 bg-muted rounded">space</kbd> to restart</p>}
+        {gameStatus === "game-won" && <p>You Won! Press <kbd className="px-2 py-1 bg-muted rounded">space</kbd> to restart</p>}
+      </div>
+    </div>
+  );
+}
+
+export default App;