here's an idea, for the jobs that are required to be done for food (assuming that everyone here has enough empathy to not go with option 1), a reasonable solution would be to create a government/charitable organization that doles out food in response to furthering development in areas of the planet that haven't (and probably won't) be touched by gods (robotics) hand.
People get paid via food stamps / whatever form of payment we use in a post scarcity society. Eventually the people who were uplifted would be given the option to do charitable work back to the original charities homelands, essentially building infrastructure that wouldn't necessarily need to be created to increase economic output (IE no reason for robots to do it)
technically all that could be done with robotics, but since there is no economic reason to increase the lives of somalis (for example), this might be one of the best uses for "fake work"