I'm choosing position (1,0) because it creates a strong formation with my existing "O" pieces at (0,0) and (0,1). This move gives me two potential winning paths: I can either complete the left column if I get (2,0) later, or create an "L" shape win pattern if I get (1,2) in a future move. This is superior to other available moves as it maximizes my winning opportunities while not leaving any immediate winning paths for my opponent.