This all assumes that AI continue to do the bidding of humanity, which is not guaranteed. There are already security/safety researchers testing AI for autonomous power-seeking behavior, and this is basically gain-of-function research that will lead to power seeking AI.
We already have the technology to fully automate many processes carried out by humans.
Actually the technology has existed for several decades now, still those jobs are not only not being replaced by machines, but new ones are being created for humans.
One of the reasons are unions, which are pretty strong in many wealthy and powerful nations like the US, UK, Germany and Japan.
I work in manufacturing automation and we have customers that could technically run their entire operations without one single human stepping on plant floor, however their unionized labor makes that feat, at least for now, impossible.
It's also pretty naive to believe new ways of earning income won't appear in the future and that all traditional careers will be entirely replaced.
We have 65" 4K TVs at home and we still go to the theaters and we can walk the streets of Venice from our computer screens and still spend a small fortune to travel.
Society will be disrupted just like it was with printing, the industrial revolution, communications, transportation and information.
In each of these disruptions we were doomed to dissappear.
When I was a kid my dad brought home a 100 year celebratory edition of the local newspaper.
It was published as a book were you could read pretty much every single cover and editorial of the last century.
There was one article about the car, described by the author as a bizarre evil invention, horrendous steel machines traveling at ridiculous speeds of up to 15 mph, threatening the lives of both pedestrians and horses alike.
But when we get to the point that bots both fight for the rich and make the rich peoples stuff then there is no real reason for the current system to remain.
So, to me an obvious solution would be to employ many of those people as care workers. Even more obvious would be shortening the work-week without reducing pay, which would allow many more to work in other physical labour requiring professions, and those that simply benefit from human interaction. In the end it's also a preferable outcome for companies, people without money can't buy their products / services.
But, most societies will be mostly full of unemployed humans, and that will also probably cause some big changes (the ones required for the meat bags to keep eating, having health, homes, etc.), as big as the ones caused by AI revolution.
The question is what changes will happen and how societies will rewrite themselves anew, to overcome the practical full absence of open positions to earn an income.