A game token starts at position 0 on a circular track with 3 positions: 0, 1, and 2. At each turn, a fair coin is flipped. If it lands Heads, the token moves 1 position clockwise ($0 \to 1 \to 2 \to 0$). If it lands Tails, the token moves 1 position counterclockwise ($0 \to 2 \to 1 \to 0$). What is the probability that the token is back at position 0 after exactly 3 turns?