> My recommendation would be to encourage the tutor to ask the student how they use the LLM and to school them in effective use strategies

It's obviously not quite the same as programming, but my English professor assigned an essay a few weeks ago where we had to ask ChatGPT a question and then analyze its response, check its sources, and try to spot hallucinations. It was worth about 5% of our overall grade. I thought that it was a fascinating exercise in teaching responsible LLM use.