Interesting. The confrontation with Zuko feels kind of hollow. I was hoping for more interplay, but Azula knows how to keep him on the back foot so well they didn't really get to have much back-and-forth, although her internal narration throughout that conversation is plenty to mull on. Or is that just a consequence of how we spent the loop focusing on literally anybody else?
[X] A lie. You've learned that neither Mai nor Ty Lee support Zuko as enthusiastically as they first appeared to, but you don't know why. Mai never quite answered your question. Accusing them of conspiracy will, if nothing else, reveal the crux of their loyalties—something you need to cultivate, since it seems you are at a tactical disadvantage without any to call your own.
[X] Because it's a victory. You can admit that theirs is the worst betrayal you have ever faced, and by now you have faced it again, and again, and again. To turn it around, then, is to demonstrate that there truly is no setback your brilliance cannot overcome.
The big win of this loop, I think, is Azula's hesitant breakthrough about relating to other people. Whatever she tells herself, her discoveries here are new, unexpected, and poorly understood. She's fumbling blind with the idea that Mai and Ty Lee do actually care about her, even when they choose somebody else. I'd kinda like to see Azula fixating on that, she has a thread to pull here and it's time to engage the 'ol obsessive perfectionism until she's dissected this new angle in full.