Robotics is solved. Software is solved. There is no task on the planet that cannot be automated, individually. The remaining challenge is exceeding the breadth of skills and the depth of problem solving available to human workers. Once the robots and AI can handle at least as many of the edge cases as humans can, they'll start being deployed alongside humans. Industries with a lot of capital will switch right away; mass layoffs, 2 week notice, robots will move in with no training or transition between humans.

Government, public sector, and union jobs will go last, but they'll go, too. If you can have a DMV Bot 9000 process people 100x faster than Brenda with fewer mistakes and less attitude, Brenda's gonna retire, and the taxpayers aren't going to want to pay Brenda's salary when the bot costs 1/10th her yearly wage, lasts for 5 years, and only consumes $400 in overhead a year.