So apparently, in the event of a tie, you can't talk to the guy and he just respawns all of the agents. The game will not finish normally.
EDIT: Two bugs regarding the Special Game.
First, once Larry is selected, Larry will ALWAYS be grown instead of Natasha. I don't know if this is fixed by playing a normal round. It is not fixed with a standard game.
Second, he says a special door is unlocked. And I think I know which one it's supposed to be. But no new doors are opened/usable.