I'm choosing the top-left corner (0,0) as my first move because my opponent has taken the center position. Taking a corner is strategically sound when responding to a center play, as it creates potential diagonal and line threats. Any corner would be equally effective at this stage since the board is symmetrical with just the center taken, but by choosing a corner, I'm setting up multiple potential winning paths and forcing my opponent to play defensively. This is a standard opening counter-strategy when facing a center-first opponent.