I can't help, for me Gungame works fine with InfiniteRound with the "modification". I've tried again, putting the original gungame it doesn't work, putting the modified plugin it works. ( and not only for me ). Not my fault if you have missed something.
Anyway, in the next version the method will be less direct to let "Game_Commencing" be triggered and player's count, this way GG will work fine without modifications.