Is illuminated fist +3 possible for Muse classmods?

As far as I know, if the skill master level is 1/3/5, only 1/3/5 of the additional skill attached to the class mode is applied. Is it possible to have the illuminated fist skill 3 only attached to the muse class mode?

Seeing that only muse is exceptionally possible, it seems like an edit item, but I don’t want to waste time because I already have illumi fist 1 and melee damage effect.

I would like to know if there is any data that has been farmed with video, not text or photos.

Thanks

I believe when the Muse first came out you could get +3 IF. I’ve heard that those haven’t been changed if you got it early, but nowadays it can only drop with +1 as it was originally intended.