I'll place my X in the bottom-right corner (2,2) for strategic advantage. This move serves two purposes: 
1. It sets up a potential diagonal win from the center (1,1) to the bottom-right (2,2). If I can later play in the top-left corner, I'll complete this diagonal.
2. It opens up two possible winning paths - either along the right column or along the bottom row.

Since the opponent has only played in the top-left (0,0), there's no immediate threat to block. By taking the corner position, I'm maximizing my future winning opportunities while preventing my opponent from using this strategic position.