EDIT: NVM, I'm probably either dumb or blind or both. There's a quest marker somewhere behind, on a red star, and I think I have to be on that particular system to complete the quest. Which is kinda dumb since there's a shitload of stars, but eh. Jumping back towards it now, will update this when I get there to note if it worked or not.

EDIT2: Somehow I missed that I can build a Mind Arc with a Soul Engine, or the recipe updated when I was fighting pirates to protect a Freighter and then got the quest line to getting my first Freighter, but when I made the Soul Engine, the quest moved on, without me having to jump back to where I was going to. So, eh, problems solved, 99% chances it was just typical user error.

So, yeah, basically this. I had a Cadmium Drive installed before I took this quest, which I think was the reason it glitched but that's just an assumption. I've warped to 3-4 red stars already, mined a shitload (3K+) of Cadmium, even actually built the Soul Engine, but the quest does not advance. Anyone know any way to solve this? Or is there a way to reset/restart the quest?
Oh and I have absolutely zero clues where Arthemis' body marker is in, no quest markers for it at all, so no idea where back to teleport, If I even can do that, to try and circumvent this.

Have you tried to reset your mission in the log by warping far away or going through a black hole? That's usually the solution when you are stucked in a quest or story mission.