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In the first week, I built all the structures except for the magic guild in my castle. After that, there was a lot of aimless running around. I captured a couple of resource locations in the second week (4 angels).
I was afraid to go into Utopia and instead headed for the nearest Treasury. By that time, my opponent already had 3 Ramparts, although his stats weren't significantly better than mine.
At the end of the third week, I attacked the main castle with my main hero to pass on the main forces for the assault on Utopia, but an opponent's player appeared from the Dungeon and killed my main hero (he was riding a single gremlin). Although he didn't have any artifacts, there was no point in continuing the game. On the next turn, the opponent took the main castle, and that was it.