Sadly, I can't do any of the new Blue quests even though I'm already 58. I just haven't mastered the Azulmagia fight and the primal abilities have been... uncooperative in the learnings. I realize they aren't "needed" for the fight but they sure couldn't hurt.
I guess BLU just isn't really for me. I mean I like collecting the abilities, but I can't actually get them all solo and I guess I had it in my head that, being a "limited job" that can't do roulettes, that it was intended to be a more solo-centric thing. My mistake apparently.
EDIT: I did not realize at the time I posted this that learning was basically guaranteed if you did the content synced. I have acquired many more of the dungeon/raid spells since then. I have yet to beat azulmagia yet but maybe these new spells will help.