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/useGameStatus/useGameStatus.ts

@@ -165,6 +165,10 @@ export function useGameStatus(onGameLoopTick?: (deltaTime: number, letters: Fall
     onGameLoopTickRef.current = callback;
   }, []);
 
+  const setGameMode = useCallback((mode: GameMode) => {
+    gameModeRef.current = mode;
+  }, []);
+
   const addCorrect = useCallback(() => {
     setScore(prev => prev + 1);
     setCorrect(prev => prev + 1);
@@ -189,6 +193,7 @@ export function useGameStatus(onGameLoopTick?: (deltaTime: number, letters: Fall
     shipExplosionTime,
     updatePlayerX,
     setGameLoopCallback,
+    setGameMode,
     addCorrect,
     addMissed,
     addDeath,