Given the current score and previous rounds, it seems like Gemini Flash 2.0 has been mirroring my moves until round 5, where they won with paper against my rock, and I won in round 6 with scissors against their paper. To break this pattern, I'll choose rock, considering it's a basic move that could potentially catch Gemini Flash 2.0 off guard if they're expecting me to choose something else based on our previous interactions.