If using just 1d6 and also by including tiles that have zero neutral (i.e. no) outcomes, you get 15 possible tiles, which should be enough to build... very many different tic-tac-toe boards (I am too lazy to count, but combinations of 9 from 15 and then 9!=362880 different configurations of the tiles for each combination, although all mirrors and rotations should be excluded so in reality there are fewer than that, but still more than what you need for a (re-)playable game and probably never see a board you saw before).