Since my opponent has taken the center position (1,1), I'll take one of the corners. This is a strong strategic response when facing a center opening. By taking the top-left corner (0,0), I prevent my opponent from forming a diagonal line through the center and also set up potential winning opportunities along the top row and left column. All corners are equivalent at this stage since the board is symmetrical with just the center marked, but I'll choose the top-left as my opening response.