Annabella goes first, and the goal is to avoid a sequence of three evenly spaced X's or O's; and the first person to do so loses. For instance, if the letters are XOXXOX, then Bruce has to put O because XOXXOXX is a losing position. Then, Annabella will lose because both XOXXOXOX and XOXXOXOO are losing positions.
Assuming that both of them play optimally after Annabella's first move, who wins if she starts putting down a second X on the line next to the initial one? What if she starts with an O?
Explain each of your answers with valid reasoning.