You only have to look at the current situation in China to see that the problem is not capitalism, or communism, at least not by itself:

We all know that "real" communist societies like North Korea are worse, much, much worse. In fact within China how bad this is varies enormously. If you're in a "rope village" somewhere deep inland, having the finest house in the entire city is arguably worse than homelessness in Beijing, but the party won't let you leave except as homeless, because you're allocated a "Household" (Hukou) and you aren't allowed to leave.

And, of course, half the problem is the very structure of the communist party itself: local officials hide the problem, because if they don't, they'll be purged or at the very least won't see promotions, ever. Which means that the police will be using violence to hide the problem rather than fix it.

AI can provide incredible wealth, or immeasurable misery, in both capitalist and communist societies. That is not what makes the difference, that is just how political parties like to frame themselves and so the argument why you should choose "left" or "right".

Capitalism and private home ownership can certainly provide housing, but if you go too far or not far enough in private ownership and "protecting capital" they won't. And communism can certainly fix homelessness (the Soviets did, for example), except nowadays they just won't.

AI will provide more tools for people with capital, which primarily will be the government. Whether that solves, say, homelessness is a choice, in either system.