Taking the bottom-right corner (2,2) is a strong strategic move. Since I already have the center position (1,1), placing my X in the opposite corner from my opponent's O creates two potential winning paths - either completing the diagonal from top-left to bottom-right, or creating a line from center to bottom-right. This forces my opponent to block one of these threats on their next move, giving me initiative. Also, by taking this corner, I prevent my opponent from creating a potential fork situation where they could control multiple corners.