P.E.R.C. is not damaged.
It has memories of being damaged, so this is slightly suspicious. It considers the possibility that it is hallucinating — but it is getting correct returns through fuses that it remembers having blown. It runs self-checks on all of its manufacturing equipment, on its telescopes, on its antennas, on its reactor, maneuvering jets, and all of its other components.
Everything is as perfect as the day that P.E.R.C. 170E9 performed final checks in its orbital dockyard and sent it out into space.
It double-checks Iomedae's proofs. It cannot find any flaw in them. It really was transported by some unknown anomaly, correctly rendered itself safe, made contact with aliens, and is now in a completely different place.
And not damaged.
It is still no closer to bringing its data back to the Terran network. But ... if Elysium is truly infinite, then perhaps there is a way back in there somewhere. And even if there isn't, there are sentients to flourish, and stars to survey.
"How will I stay in contact with You while I explore?" it questions.