Where do you live? Do all houseowners get kicked out of their homes? Do you raze all houses and build similar apartments and resettle people? If not, there will be inequalities. How does someone who is born into a shit house at a polluted street move up to a nice house in a forest? You still need full control and acceptance of inequality from all sides.
There's a bunch of quite good speculation like this in Plan A
https://ai-2040.com/supplements/economics-of-plan-a
And yes, moved into skyscrapers:
"This implies that the price of housing will become dominated by the price of the land (as opposed to the cost of building housing), so dense housing (e.g. skyscrapers) will become relatively much cheaper than sparse housing"
There's a later bit that talks about keeping earth as a reserve too.