I'm trying to envision the QC universe as though it was the real universe; what else might exist in a place where AI has taken such leaps and bounds? I'm not going to go so far as to call for Anthro ToiletsTM, but even today we have magastructures being designed and built that are self-sustaining, and completely off-grid within 4 years (on paper) of startup. I guess what I'm saying is that I don't find the idea that a hyper-advanced space station independently funded and populated by the best and brightest, dedicated to science, run by the most advanced AI ever created, could be completely self-sustaining to be far-fetched at all. In my mind, the only thing these people get delivered to the station are knicknacks, quality of life type stuffs, and specialized research consumables and equipment.
TL;DR: They recycle their poop.