So far, we've had two ties in a row, with the opponent matching my paper and scissors moves. This could indicate a mirroring strategy, or it could be coincidence. I'll choose rock for this round to break my own pattern and to test if the opponent is truly mirroring my moves. If they are mirroring, they'll also play rock and we'll tie again. If they're trying to predict my next move, they might expect me to play paper again or to complete a cycle with rock, so they might play scissors or paper respectively. Rock seems like a good strategic choice to both test their strategy and potentially win this round.