Just to clarify, you DID click on the ticket to have the adult quest spawn right? Because as far as I know, that's the only way to start the quest chain, and the ticket could only drop after the game's recent update. Sorry if I sound like a broken record for some reason, I just want to understand your whole situation.
Ok so, to give you a full run down, I had just completed all of Red Ruins training area (Left side of the forest) And I had moved on towards the right side of the map City Area and went into that small group and started completing a bunch of quest.
I don't know if this is fully possible, but it could be that talking to Aizi about going towards the City Area may have been possible before the actual adult update, but the adult update questline wasn't actually implemented until recently, causing a bit of a small disconnected?
Like there was nothing wrong or bugged with my game, it was just the fact that I had already done it, and I was confused on why I wasn't able to talk to Aizi about going to City Area and some people were also confused about that as well, thinking that its bugged, or immediately trying to go to Sheila. Also when you accept the quest (Korin's Spell) for the first time, it tells you to go to Hada, then Hada's quest tells you to go to Aizi.
Here's a picture of the situation, I've right clicked the quest item, and it told me to talk to Aizi, but seeing as I had already talked to Aizi a long time ago and just didn't know I had, so this aspect of the quest was already complete, and I just had to go complete the boar quest in the City Area.