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How can one expand after reaching the research
sixth fifth level if the turn you reach it the game ends (end game condition)?
Thanks in advance
This gives the imp player an incentive to want to be in control of the end game. What you want to do is research the fifth level as one of the first actions in the round, leaving ample time for an Expand action to take place before the game actually ends.
Yes, the end-game has been triggered, but the game is not over yet!