What utopia has teachers who teach for free and buildings that materialize from thin air?

Every society since Adam & Eve when knowledge grew on trees.

Every society where's education is available. There are different approaches to who and how to cover the bills, but someone must do, if no one else is covering the costs, the educators do.

One whose residents value continued education differently from each other and thus present the costs to the individual to make their own decision. What kind of world makes the poor person working a manual job pay for someone else going to college?

Then tax the rich properly, and they'll bear the lion's share of anything public funded.

Ruining public schooling by under funding and having expensive private education for those that can afford it is just the neoliberal agenda. If there were no private schools, if they were illegal, along with home schooling -- not saying they should be, but if they were -- the wealthy would pump funds into the public schooling system before you can say "fuck you got mine". (Kinda like no private bunkers would mean a sudden interest in mitigating climate change globally and for everyone, hah)

Are educators not paid? From whence come those wages

I only meant to acknowledge the societal investment, not imply private education