Moreover, the way to deal with AI in this context is not like the way to deal with plagiarism; do not try to detect AI and punish its use.

Instead, assign it's use, and have the students critique the output and find the errors. This both builds skills in using a new technology, and more critically, builds the essential skills of vigilance for errors, and deeper understanding of the material — really helping students strengthen their BS detectors, a critical life skill.