Noom
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I don't understand why both options can't be combined, but it's okay. Alex_nv's option implies that in the second game, players will already know the hiding spots on the map, and there will be an opportunity to predict the game. Moreover, the reports may contain facts about the map. This is all not in favor of his option.
Theorist, you don't need to write about things that weren't proposed. My option implies that NOTHING (except the starting factions) is known about the map to the players who follow the principles of fair play. I think it's pointless to defend against cheaters who peek at streams, etc., at this stage, because there is a direct opportunity to open the game save at any time.