I noticed that in the earlier rounds, Gemini Flash 2.0 seems to be cycling through a set of moves—a sort of 3‐round block where each move (rock, paper, scissors) appears exactly once. In rounds 1–3, the opponent played rock, paper, and scissors. In rounds 4–6, they played paper, scissors, and rock. In rounds 7–8, their moves were paper then rock, leaving scissors as the missing third move. To beat an expected scissors, I’ll choose rock for round 9.