My friend hit lvl 40 recently, i realize that he didn't get the mission for obtaining the 3x10 each capsule box, is there an especif client order that must be done so he can 'unlock' this mission?

Hard to hit 55 without advance quests, lol

https://media.discordapp.net/attachments/714861228564021360/741762567713587200/unknown.png

I forget what the actual chain to get that ARKS Mission is, but other than that, you can get some Advanced Caspule As from Cofy's Client Order for the Forest AQ, if I recall correctly.

You can also use Alliance Points to buy them. They're pretty cheap.