This is a bug with recent versions of the game, I think it is tracked in multiple bug reports (f.i., here: Recorded games go out of sync ) I read somewhere that recorded games go out of sync if two players attempt to build a building at the same area, but I don’t know if that was just speculation or not. However the behaviour seems to be deterministic at least, because for me games either always go out of sync at the same time, or play back correctly all the time I attempt to replay.
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