Altarrin visits once a week. He's clearly never happy to have to go back, but he at least doesn't show the previous warning signs of maybe on some level trying to work himself to death. He brings Carissa books, and notes on immortality research - progressing steadily - and early-stage wild speculation on how to mathematically define priorities and values in a way that could persist in a massively transformed god-mind.
He updates her on court politics, including Carissa-relevant parts like the fact that Mage-Inquisitor Kastil was released - though not returned to exactly his former post - and that there are almost certainly still assassination plots out against her, because he was paranoid enough to make it impossible for anyone except him to shut them down. But the Inquisition still doesn't know about Carissa's new magical abilities, now growing by the week, or where she is.
There are plenty of rumors about Caris/Carissa - the investigation was public enough, and leaked enough, for the rumor mill to connection them - including lots of speculation that the public story of Caris/sa's ongoing boring political imprisonment in an undisclosed location is false, and he/she has (been given a new name and granted a barony in the far west)(gone to seduce a shaman of the Shin'a'in)(gone undercover as a spy to seduce the Emperor's enemies and betray them)(become an absurdly wealthy merchant in Seejay). None are especially close to on-base. If the rumor mill ever heard a whisper that Carissa was from another world, it didn't get far.
Altarrin - is continuing to mostly avoid conversations about duration-of-commitment-to-the-Empire with Bastran. Not because he thinks Bastran can actually talk him into making a promise he doesn't endorse, but because every iteration of it makes Bastran sad again, and then Bastran looks at him with that sad expression, and it feels very pointless. But he's ready to relay it to Bastran whenever Carissa's tower is magically secured and finished construction and is ready for an Imperial guest.