The original author of the paper about the technological singularity [1] defines it as simply the point where predictions break down.

If AI gets to the point where it is truly replacing radiologists and programmers wholesale, it is difficult to tell anyone what to do about it today, because that's essentially on the other side of the singularity from here. Who knows what the answer will be?

(Ironically, the author of that paper, being also a science fiction author, is also responsible for morphing the singularity into "the rapture for nerds" in his own sci-fi writing. But I find the original paper's definition to have more utility in the current world.)

[1]: https://accelerating.org/articles/comingtechsingularity

I think that if AI can replace software engineers then AI can replace any job because the domain of software engineering is pretty much everything.

I don't think robotics is progressing at nearly the same pace as AI so for a while there will still be a bunch of manual labor for us to fight over. :-)

Not really. AI advances are boosting progress in robotics. Many US and China robot companies are developing general androids.

Crime?

Plumber, car mechanic, something that human hands can do but robots can't.