I'm choosing the top-left corner (0,0) as my first move for several strategic reasons:

1. Corner control is valuable in Tic-Tac-Toe as it gives me three potential winning lines (horizontal, vertical, and diagonal).

2. With my opponent having taken the center (1,1), placing my "O" in a corner creates an immediate threat along the diagonal, which will require a defensive move.

3. If my opponent doesn't block the diagonal threat on their next move, I can potentially win by completing the diagonal from (0,0) to (2,2).

4. Even if they block the diagonal, I'll have options to create a fork (a position with two winning threats) by playing strategically with my subsequent moves.

5. The corner opening is a strong counter to a center-first strategy, as it immediately puts pressure on my opponent.