This board is active enough that I don't think you need a time limit. Chichiri ran a save game with all the pokemon from gens 1-4 and, as far as I know, loss of interest wasn't a problem. I'd suggest starting with 2 eliminations per round and then you can increase it if things seem to be going too slowly.
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You put your RESOLVE HAT back on, which conveniently is the same hat as your NORMAL HAT.
{Drakeryn}