Add right/wrong marking with steal mechanism and question stats

Adds Correct/Wrong buttons to admin panel that track question
answer stats across games and implement a steal system where
the next team gets one chance to answer if the first team is wrong.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

backend/routes/admin.py

@@ -304,6 +304,43 @@ def seek_audio(game_id):
         return jsonify({'error': str(e)}), 500
 
 
+@bp.route('/game/<int:game_id>/mark-correct', methods=['POST'])
+@require_auth
+def mark_correct(game_id):
+    """Mark current question as answered correctly by the current turn team"""
+    game = Game.query.get_or_404(game_id)
+
+    try:
+        team = game_service.mark_correct(game, socketio)
+        if team:
+            return jsonify({'message': 'Marked correct', 'team': team.to_dict()}), 200
+        else:
+            return jsonify({'error': 'No current question or team'}), 400
+
+    except Exception as e:
+        db.session.rollback()
+        return jsonify({'error': str(e)}), 500
+
+
+@bp.route('/game/<int:game_id>/mark-wrong', methods=['POST'])
+@require_auth
+def mark_wrong(game_id):
+    """Mark current question as answered incorrectly by the current turn team"""
+    game = Game.query.get_or_404(game_id)
+
+    try:
+        result = game_service.mark_wrong(game, socketio)
+        return jsonify({
+            'message': 'Marked wrong',
+            'steal_active': result['steal_active'],
+            'both_failed': result['both_failed']
+        }), 200
+
+    except Exception as e:
+        db.session.rollback()
+        return jsonify({'error': str(e)}), 500
+
+
 @bp.route('/game/<int:game_id>/advance-turn', methods=['POST'])
 @require_auth
 def advance_turn(game_id):