Lets say I have a robot or two with a genius-level intellect. In theory it could manufacture a car for me or cook my dinner or harvest the crops needed for my dinner. But I don't own the mine where the metals needed to make a car come from. I don't own a farm where the food for my dinner comes from. Unless the distribution of resources changes significantly, it doesn't really help me that I have a genius robot. It needs actual physical resources to create wealth.

Right now the people that own those resources also depend on human labor to create wealth for them. You can't go from owning a mine and a farm to having a mega-yacht without people. You have to give at least some wealth to them to get your wealth. But if suddenly you can go from zero to yacht without people, because you're rich enough to have early access to lots of robots and advanced AI, and you still own the mine/farm, you don't need to pay people anymore.

Now you don't need to share resources at all. Human labor no longer has any leverage. To the extent most people get to benefit from the "magic machine," it seems to me like it depends almost entirely on the benevolence of the already wealthy. And it isn't zero cost for them to provide resources to everyone else either. Mining materials to give everyone a robot and a car means less yachts/spaceships/mansions/moon-bases for them.

Tldr: I don't think we get wealth automatically because of advanced AI/robotics. Social/economic systems also need to change.