We called for help on the first JoL ever popped on Odin... twice... had no idea what the hell we were doing back then... and STILL won...
Like others have mentioned, only real way to lose this is AFKing BLMs not killing adds. Because JoL will never melee you unless you let it, you can always recover eventually.
Anyways, so the pet HP looks to be around ~2500 to 3000 now?
XI Wiki


