Any work that is based on knowledge, analysis, cleverness, thinking, expression, art, strategy, prediction, insights etc will be profoundly effected. Humans just need to move out of these territories invaded by AI. To the real world where human physical abilities matter.
Except all of those skills are also useful for developing robotics. If those truly are "profoundly effected", robotics innovations won't be far behind.
Seems like a truly horrific world you're imagining. I hope you're wrong.
On the contrary, humans need to develop these territories further because AI is only a follower and a student of human-created knowledge, that's why it excels in student-related tasks. In order to have good AI we need good human science which needs a lot of human effort for a variety of reasons.
The problem with humanities is their tendency to be palace sciences, easily abused for political reasons. It's more of feature than a bug and it's unlikely to change from within them.