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/models.py

@@ -79,6 +79,9 @@ class Question(db.Model):
     start_time = db.Column(db.Integer, nullable=True)  # Start time in seconds
     end_time = db.Column(db.Integer, nullable=True)  # End time in seconds
 
+    times_correct = db.Column(db.Integer, default=0, nullable=False)
+    times_incorrect = db.Column(db.Integer, default=0, nullable=False)
+
     created_at = db.Column(db.DateTime, default=datetime.utcnow)
     created_by = db.Column(db.Integer, db.ForeignKey('users.id'), nullable=True)
 
@@ -109,6 +112,8 @@ class Question(db.Model):
             'start_time': self.start_time,
             'end_time': self.end_time,
             'category': self.category,
+            'times_correct': self.times_correct,
+            'times_incorrect': self.times_incorrect,
             'created_at': self.created_at.isoformat() if self.created_at else None,
             'created_by': self.created_by,
             'creator_name': (self.creator.name or self.creator.preferred_username) if self.creator else None,
@@ -157,6 +162,7 @@ class Game(db.Model):
     current_question_index = db.Column(db.Integer, default=0)  # Track current question
     is_template = db.Column(db.Boolean, default=False)  # Mark as reusable template
     current_turn_team_id = db.Column(db.Integer, db.ForeignKey('teams.id'), nullable=True)  # Track whose turn it is
+    steal_active = db.Column(db.Boolean, default=False)  # True when a team got it wrong and next team can steal
     completed_at = db.Column(db.DateTime, nullable=True)  # When game ended
     winners = db.Column(db.JSON, nullable=True)  # [{"team_name": str, "score": int}, ...]
 
@@ -192,6 +198,7 @@ class Game(db.Model):
             'is_template': self.is_template,
             'current_turn_team_id': self.current_turn_team_id,
             'current_turn_team_name': self.current_turn_team.name if self.current_turn_team else None,
+            'steal_active': self.steal_active,
             'completed_at': self.completed_at.isoformat() if self.completed_at else None,
             'winners': self.winners
         }