I'm surprised it's not the Cincinnati Reds. Really, though, looking at the link, you have to buy it as part of a package for $25, for August 27th's game, and only 100 such seats are available. Even then, you're not assured of playing, as participants are chosen via raffle. Seems as if they'll tape it, too, which is fantastic; hopefully the full thing gets uploaded to YouTube.
Here are the jerseys, since they weren't linked in the original post:
/mildly amusing that you have to be 18+ to play a
children's game show