I think it's up to admin's decision, if the mayan player wants to go on, fine, but must understand that there are other players/teams and their 'fun' depends on each other. If one neglects the game it can cause issues and caused already from other teams as well. I think it should be expected from all team to:
check on the game at least once a day
Log in and finish the turn within time frame,
if there is anything which prevents the above actions write here and explain the situation
bonus: try to play the game normally. spending an average 3mins/turn at this stage is not good.
This is actually against my interest, an inactive enemy is much better for my position ingame (but i just can't stand waiting almost 2 days and not a single log in from maya and when there is it's usually 1-5 mins spent ingame just before the clock ends)
About situation: I estimate the game will end between 40-80 turns, maya will not win the game, but still have considerable army and gnp