Thinking about how Team Azula all have problems stemming mainly from...
Inadequate attention. Hear me out,
Azula didn't get the loving attention from Ursa that her brother got. But got the cold, distant attention of her father... and she had to work to keep it. She feels insecure when others receive the attention she craves.
Zuko got attention from Ursa until he didn't, then he had Iroh, but yearned for that of his father's. Despite the fact Ozai's was always cruel. Everything Zuko did was in hopes of getting his father's approvals.
Ty Lee felt lost in the crowd of identical sisters and grew to love being the center of attention. To the point where "circus freak" is a compliment to her because at least it's an identity that felt personal to her. At least she stood out for once.
And Mai was expected to sit still and look pretty as to not upset her very emotionally distant parents or get in the way of their reputation. She also got a baby brother nearly a decade and a half after her; who seems to he her parents's current pride and joy. And as a result, she ends up seeking the emotional validation from Zuko and getting upset when that sense of respite is strained or threatened.
