Full Dungeon Run here: https://www.youtube.com/watch?v=ygKFB4EiPL0
Alternatively you can go into Brayflox’s Longstop (Hard) and fight Gobmachine G-VI at the end of the dungeon but I went for less dungeon.
Doing all spells solo (that I can) and synced (that I can) to guarantee spell learning at the lowest level possible.
Use this link to sort the level in ascending order for both world mobs or duty level.
https://ffxiv.consolegameswiki.com/wiki/Blue_Mage_Spells_Learning_Guide
BLU Spells Solo Playlist:
https://www.youtube.com/playlist?list=PLx9ijRlws3qYGNpgkHI0uW51WAhME_yxE
FFXIV Sidequest Playlist (including BLU content):
https://www.youtube.com/playlist?list=PLx9ijRlws3qaW4LLTbRz7OTgVzriT-Pkc
source
I freaking haaaaaate this boss.