Too many unknowns to be predictable.
We've got loads of machine labour already, we don't yet plug AI into it everywhere because humans are much better at avoiding accidents (not immune, but much better). Get AI good enough, the mining equipment, the delivery trucks, the factories, can all be fully automated (bits of each already are). You're now limited by how fast (and how far) your robotic workforce can increase it's own size.
How fast is unknown until we do it, but it wouldn't be particularly surprising if a group of robots could double their number in 6 months. How far is also unknown until we do it, my guess is that there are loads of limits to growth we've just not bothered thinking about yet because we don't need to. On the one hand: I'd be surprised if it worked out as less than one humanoid robot per capita using only things found on Earth; on the other: I expect it to vary by country.
Even "just" one per person is enough for everyone to have a life of luxury. (But of course, by medieval standards, I could say that about "clean indoor plumbing" and "bedrooms").
But if we're never limited by trace elements, then the upper limit is a paperclip maximiser (in the bad ending) or a Dyson swarm (in the good ending).
Both endings can (in principle and if I ignore all the unknowns) be reached in my lifetime.