yes a lapyrinth is also very diverent from a maze
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a labyrinth path always leads to an exit while a maze has many dead ends
and since this labyrinth serves as a gateway to the capital
with many travelers and commuter that work there
i don't think they have build it so that people get lost there...
it makes more sense that the hellhound sisters are simply watch dogs for the 2 gates
one gate for the caverns exit and the other one for the capital entrance
and adventurer also need to have the 2 first sigils to pass the gates
although thres could add gargoyle girls along the path or some other extra guards...