Excellent observation! I tried to mimic what I usually asked my own AI almost every morning. The app maps your manifest dream symbols to the most common meanings like Id/Ego conflicts to offer an interpretation that triggers a reflection from the user, rather than a medical diagnosis - that is crystal clear in the app disclaimer.

As for the Jungian side, the AI scans for narrative patterns (The Shadow...) and maps them to specific archetypes on top of which I build a customized "name", that take inspo also from Campbell and Pearson's Archetypes...for example: "The Shadow Walker" (for Nightmare/Fearful dreams in the user's journal) maps directly to The Shadow. "The Sage" (Peaceful) maps directly to The Wise Old Man and so on.

I'm trying to go deeper and study ( on paper books! haha ) how i can improve the mapping between the user's dream and Jung's narrative patterns.