Got the hang of it and won after some attempts. It was fun! The AI was clever and it is hard to get a good balance in a jam, so props for having nailed it. Well done.
Something to adjust: I would refine the initial distribution; in most of the runs, some of the players don't even get a single turn because they're assigned a couple castles in a dense area and so their hexes value is low and they are bought out instantly. Instead, players with castles away from the center get more hexes and have less risks, and so they have a big advantage, and that means they will have more crowns to instantly buy out smaller players.