to go out: to move from inside a place to outside it, or to leave a place behind
At its core this word is about crossing from inside to outside. Someone steps out of a house, a town, a boat, a tomb, or a region, and the focus is on the leaving and the new direction taken. The Gospels use it constantly to keep their stories moving: Jesus goes out to teach, the crowds go out to meet him, the disciples go out on a mission.
The same picture stretches from simple stepping outside to deliberate departure. To go out from a house can be a small everyday act, but to go out from a town, a country, or a group of people can be a decisive break. When the word is paired with a command to leave, it often carries the weight of separation: come out and be set apart, shake the dust off and move on.
Because the action is always away from somewhere, the same verb naturally covers both the small step over a threshold and the large act of pulling up roots and leaving for good.