Space

Late last night we were looking at the Moon, stars, the Milky Way and a few satellites. They all looked the same distance away. Some brighter, some dimmer. I know they are not, but they do look like they are fixed equidistance on a giant bowl above.
When an airplane flew overhead it looked to be the same distance away too.
Is there a specific distance in space where we ‘see’ the light of celestial objects?

Your brain measures distance partly from the eye muscles and partly from interpretation based on history.
Items in the sky are at ‘infinite distance’ based on eye motion- so without visual cues to location, it all looks to be the same.

Your brain and eyes use many different cues to judge distance, and all of those methods top out at some maximum distance. By the time you get even as far as airplanes, all of them generally fail. Space? Fuhgettaboutit.