You win a Sword in the Stone one time use magic by riding either Alice or Peter Pan ride. Its random who gets it. I rode about 10 times on each ride and happened to win one. You have one day to use it.
When you go up to the Sword in the stone, have your magic pin on. You either click the magic or say "Draw!". Then you find out if you win the Mad Hatter Party Pin or not. That is also random.