Sorry but she looks nothing like faruzan her hair color is way off and the hairstyle is similar but not correct I have to clarify Sorry if this sounds rude isn't just my opinion and facts
The front of the hair and the x hair ornament are strong indicators of it being her. I don't know why her hair is pink in this post, but there are plenty of characters drawn with different hairstyles and hair colors than in canon.
This piece of art contains deep lore: who are the students' mothers?
Blue Archive tend to introduce a lot of plot entities and concepts that they tend to gloss over and put on hold in the shelves after they introduced and shown it to the player. Barring few examples like the Eden Treaty and the Abydos debt, they seems to didn't care that much about the worldbuilding in favor of just showing the girls having fun with each other with the story events. It actually left a lot of stuff unanswered that people starts making theories speculations around the mythological concepts that the game often uses, like the guy above me said. Shame, really. Judging by V1C3, they could at least have explored the worldbuilding more, how did they get the debt in the first place, and how the systemic economy works around Kivotos. Instead they kinda set that aside once Suou kidnapped Nonomi under Nepthys/Kaiser/Basemet Dweller's orders, and at that point V1C3 just becomes another Hoshino-centric storyline that put too much focus on her guilt and anxieties. Judging by the translations of the last part of C3, we already know how it turned out, and it raises even more question on how does it even run in the first place, while keeping Abydos back to the status quo AGAIN, much for the disappointment of many.