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Most likely, that’s how it is, although in my opinion, there’s no point in going to the Dungeon after capturing the first Castle. I immediately captured the second Castle, and then the third, and the army started to grow at a good pace. I defended against the Barons using portals. After clearing everything on the surface and waiting a couple of weeks, I went down to the Dungeon and completed the mission. Before attacking George, I attacked his supporting hero several times, with whom he shared part of his army after resurrection, thereby reducing his own. I played on normal difficulty.