I'll place my O in the top right corner (0,2) for two strategic reasons. First, this creates two potential winning paths for me: I now have an O in both the top-left and top-right positions, setting up a potential win along the top row. Second, this blocks a potential diagonal win for my opponent - they already have X's in the center (1,1) and bottom-right (2,2), so blocking the top-right prevents them from completing that diagonal. This move both advances my winning chances while defending against my opponent's threats.