Thanks for catching that, I fixed the link.
The network itself has no capability to pass its turn, which is a consequence of the fact it was only trained to predict player moves, not passes (we thought trying to learn when to pass would be difficult and a complication best avoided). So essentially you have to play until it seems clear to you the position is won or lost. If you played on indefinitely the DCNN would start playing terrible/suicidal moves rather then passing, so you could beat in the long run.