You know, sometimes I think about the fact that Ozai banished Zuko to find the Avatar, and it confuses the fuck out of me, because like??? The Avatar has been missing for over a century?? NO ONE has been able to find him, not Ozai, not Azulan, not anybody. Nobody has seen him in ages, and nobody expects to see him again soon. It would be a near impossible task to find him, and I just didn’t get why Ozai would give such an important and difficult job to his thirteen-year-old son in order to regain his honor.
And I just realized.
Ozai wasn’t setting a challenging task for Zuko to accomplish and prove his worth. Ozai knew that asking his son to find the Avatar was an unreasonable request. He knew that it was out of the question.
He was just trying to get rid of Zuko.