Pixelpioneer88 oh wow! Where would I do this?
I was pretty sure it's the same with private space as with other profiles, but apparently it's not, as I can't push apps in there or at least I don't know how. Sorry, I didn't use private space yet and just tried this right now.
But for other profiles it's easy, you can push apps from owner to other profiles simply by settings -> system -> users -> pick profile -> install available apps.
With private space you can install it's own google play services and then install apps in the private space, it's not the same as pushing ofc, but just saying.