Taking the bottom-right corner (2,2) is strategically optimal because:
1. It creates two immediate winning threats - one diagonal (from top-left to bottom-right) and one vertical (middle to bottom)
2. Forces the opponent to block one of these threats on their next move
3. Prevents the opponent from creating a potential fork using the corners
4. Maximizes my winning chances by controlling a corner that's diagonal to the opponent's piece