Of course the problem is whether or not it could be controlled, and in that case, the best hope is simply 'it' being benevolent and naturally incentivized to create such a utopia.
It's funny how tied humans are to current ways of operation given our vast history... we're trying to figure out how to hold onto an idea that's about a century old, Keynesian economics, that made sense during the dawn of the industrial revolution, was supercharged by the information age, and apply it forever forward.
We have something else possibly upon us that requires another grave, much more forceful shift if a super-intelligent, sentient AGI emerges. It's silly to think we'll have an even more supercharged version of our current reality given that nearly all jobs (outside of possibly entertainment) will be wiped away.
The whole justification for keeping consumers happy or healthy goes right out the window.
Same for human workers.
All that matters is that your robots and AIs aren't getting smashed by their robots and AIs.
Moreso, by making such a magical powerful AI as you've listed, the number one thing some rich controlling asshole with more AI than you, would be to create an army and take what they want because AI does nothing to solve human greed.