One eyed people have more than just one mechanism to perceive depth.
For example movement, of the eye, or the head or the full body, this gives different views of the scene, although not two at a time like with two eyes, but along time (just like those simplified 3D cameras do).
Movements of objects on the scene can give analogous infos.
Maybe one eyed people have a bigger limit in their sight field lateral width, in fact Renaissance Lord Federico from Montefeltro, after losing an eye, had the top of his nose removed by a surgeon to widen the remaining eye's field and avoid being more vulnerable in battle.
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