I posted the Wiki definition of space only as reference, but especially to highlight the fact that such a definition is a concept and a mathematical utility that works as a scientific tool. It does not tell us the nature of space. The dimensions you are referring to are specifically those of height, width, and depth, all measurements, which do not exist perse prior to space being measured. All of these dimensions must have a point A and a point B to be what they are. Such points of reference are arbitrary or have as a reference some other spatial object. IOW, they are not absolute, but relative values, both to each other, and to some other reference point, which also is relative. Ultimately, there is nothing in space itself that has any reference points. Even when applied, height, depth and width are only a skeletal framework, whereas space itself goes off in all directions from any single point. But the point is that, since there are no existing reference points in space, the dimensions of height, width, and depth are not inherent characteristics of space but are superimposed over dimensionless space by the human mind.
You are confusing the description of space with the nature of space.
If you wish to bow out, so be it, and thanks for the discussion, but my question remains:
"What is space prior to the mind's conception of height, depth, and width as being space itself?"