fix: preserve gameStatus when switching game modes

- Stop passing gameMode as dependency to useGameStatus initialization
- Create useGameStatus once with default 'letters' mode
- Add setGameMode method to update mode via ref without recreating hook
- Update gameMode via effect in useGame when it changes
- Fixes issue where switching to letters mode and starting game would reset to waiting

src/useGame/useGame.ts

@@ -14,7 +14,7 @@ export function useGame(
 
   const boardManager = useBoard();
   const cursorManager = useCursor();
-  const gameStatusManager = useGameStatus(undefined, gameMode);
+  const gameStatusManager = useGameStatus();
 
   // Wrap renderBoard to include player position
   const renderBoardWrapped = (letters: any = []) => {
@@ -35,6 +35,11 @@ export function useGame(
     renderBoardWrapped(letters);
   };
 
+  // Update gameMode when it changes (without recreating gameStatus state)
+  useEffect(() => {
+    gameStatusManager.setGameMode(gameMode);
+  }, [gameMode, gameStatusManager]);
+
   // Set the game loop callback
   useEffect(() => {
     gameStatusManager.setGameLoopCallback(handleGameLoopTick);