FWIW: A draw in Pylos is only possible from non-termination (i.e. repeating earlier game states), since a terminated Pylos game always has a winner.
So in the unlikely case that draws (i.e. non-termination) becomes an issue for you, adding a simple rule forbidding repeating a previous game state (which is a very typical rule for this kind of game in any case, e.g. Chess and Shogi and Go have similar rules) would make draws impossible.
Interesting insight, thanks!