Teaching other humans, and other human interaction-oriented professions, is also relatively safe. AI has a hard time with catering to an individual's mental needs.
You may be right about this, but for the wrong reasons. Computers are infinitely patient. They have the capacity to test and record progress at a granularity that teachers in an overcrowded classroom cannot match. In a previous life I visited a classroom in Indiana at the invitation of their state head of edutech, and the degree to which they had incorporated Sakai and Moodle into their classroom environment was super impressive. Their teachers spent literally 10x less time grading papers and more time doing interesting lesson planning. That was almost 20 years ago. Politics killed it.
The issue is that running a classroom is only partly about teaching. It's also largely about wrangling kids and keeping order and socialization, and it's also really really really *really* about politics. That's why fewer talented people than ever are becoming teachers. It's low paying, thankless work, and AGI prevents a huge opportunity for disruption. The education available from Khan Academy is already superior in many respects to the education kids get in classrooms; imagine an AGI managing a kid's process through that, with teachers to coach instead of lecture.
We're stuck largely with a 19th century factory model using 20th century technology to teach kids about the 21st century, and as a result, kids are *insanely* bored at school most of the time. My best friend told me the story of when her daughter came home SUPER PSYCHED because she had been given an account on HOMEWORK ISLAND from her school. She was expecting some Minecraft level shit, and instead she got online forms to fill out. She was understandably crushed. And it's absurdly hard to change this system, because no one wants their kids to be guinea pigs for something they see as techbro experimentation, and the teachers are unionized and will fight any change they see as threatening tooth and nail forever (as they probably should).
Someday someone is gonna figure out ways to use technology to teach kids for real, and it's going to blow that industry up.