Even people that go off grid and develop self sufficiency will eventually be subsumed by the need to feed more resources to the AI genie to grant more wishes. Whether it is land taxes, forced relocations, etc. Their land will be taken over, mined and or farmed - similar to colonies of old that were technologically less advanced than their invaders.
You are already IMV starting to see the beginning signs of the above as AI gets better. More competition in jobs, less certainity for the working class, businesses with other moats using AI to increase profits, data centres vs local communities taking land/energy/water over, AI required commodities increasing in value (e.g copper) and others. There will be more.
Modern times where we have democracy and capitalism are a relative recent phenomena when looking at the whole of human history that we take for granted when we shouldn't.
i.e. the community, rather than AI/big corp, would need to somehow own the scarce assets required for AI and extract economic rent from them. Whether it is energy, land, water, etc. I think its a better system then say UBI because both parties still provide something of value. This isn't my base case but it is possible. It also needs to be done while human power structures still have economic power (i.e. governments)
So it would be a combination of political will (i.e. you can't use frontier models unless they can be run by end users) and technical in that you need to have enough compute distributed with the profits of that going to local communities (e.g. data centre rent). When the AI labs engage the community that way they will pay "money" which creates a demand from large corps to local communities and adds life to the monetary system - a good thing.
Effectively compute needs to be a commodity that is rent-able/accessible to everyone at competitive prices and have multiple providers. That enables open source models, and allows a spread around the ownership of AI. It can't be hoarded by the AI labs, nor can the chips (e.g. GPU's) have only a few producers.