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By default (without any checkboxes selected), all skills should be available, except for Leadership and Necromancy. You can customize which skills are available, so the generator sets its own fixed set.
Exactly, when creating a random map, due to a flaw by the developers, you will never be able to obtain Earth Magic and some other skills in the hut. They are excluded from the possible skills that can be generated when creating a random map. This was not intended by the developers, but nevertheless, that's how it turned out. Therefore, this phenomenon can be attributed to a bug.
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