fix(card-sorting): enable New Game button during active gameplay

The "New Game" button in the mini nav menu now works even when in the
middle of a game.

When clicked during gameplay:
1. Transitions to setup phase first (to clean up game state)
2. Waits 100ms for setup phase to render
3. Automatically starts a new game

When clicked from setup or results phase:
- Starts new game immediately (existing behavior)

This allows players to quickly restart without manually going to setup
first, improving the game flow when players want to try again.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

apps/web/src/arcade-games/card-sorting/components/GameComponent.tsx

@@ -41,7 +41,16 @@ export function GameComponent() {
           : undefined
       }
       onNewGame={() => {
-        startGame()
+        // If currently playing, go to setup first to clean up, then start immediately
+        if (state.gamePhase === 'playing') {
+          goToSetup()
+          // Use a small delay to let setup phase render, then start new game
+          setTimeout(() => {
+            startGame()
+          }, 100)
+        } else {
+          startGame()
+        }
       }}
     >
       <StandardGameLayout>