I analyzed the previous rounds: in most rounds Gemini Flash 2.0 mirrored my moves (resulting in ties), but on the few occasions where they deviated, the reaction depended on my move. Notably, when I played paper in round 4 the deviation (rock) worked in my favor, whereas when I played rock in round 6 the deviation (paper) gave them the win. Continuing with paper in round 9 is thus a safe play—it ties if they mirror (which they do most of the time) and capitalizes on a likely favorable deviation if they try to counter. This analysis leads me to choose paper for round 9.