I advise you wait. These games should be played with full concentration. Having multiple games going on at the same time can be distracting and you may not be at the best of your ability. Just wait until Enlightenment ends and then maybes you can start.
^
No rush. The point is to have fun, and if everyone in a BoP is also hosting a BoP, shit will die fast. If you want a lot of focus towards this from people, you should absolutely wait until other currently active ones finish.
P.S. Dead things being declared dead when they're already rotting away is a bit redundant, so it doesn't mean anything to wait until inactive games end. Don't start a game of Life when you're already playing Monopoly... and Operation... and poker.
