Leareth is starting to find his footing, perhaps surprisingly quickly to Karal, though not surprisingly to anyone else. By evening of the same day of the - everything - he's wanting to continue reading more of his records, though he'll stick with less emotionally intense ones.
(There are going to be a a lot. His autobiography, nearly two thousand years of it, but also all the fields of study he's learned over centuries; he's retained some of that, mental skills or floating facts that rise to mind when prompted, but he needs to get back to a point when he can access that more fluently. He's fully prepared for this to be the work of months, and plans to spread it out. Especially the math, since it seems likely to bore Karal.)
He gets the two-candlemark version of the briefing on his northern operations - and his outside-the-north opereations - the next morning. Karal will learn that Leareth has been slowly and patiently recruiting mercenaries for decades, though in many cases he's just building the contacts for future rather than staging thousands of people in the north a decade before he needs them. He's been recruiting mages for even longer, in combat roles as well as research roles, and has access to several hundreds of Adepts, a number unimaginable for Karse or Valdemar. He has a spy-network across - well, most of the continent, but the currently-most-relevant branches are in Valdemar and Rethwellan and Hardorn and Lineas and Baires. He has some in Karse, but - less so, it's harder to operate there - and he has very little direct visibility in the Pelagirs, the Star-Eyed is particularly hostile. For Iftel, he only has what information he can discreetly buy (or have his spies mindread) off merchants and random travelers who are allowed in and out of their barrier. Many of his agents aren't - people he particularly trusts, or would get along with, just people where he's considered the tradeoffs and decided that working with them at arms' length is worthwhile.
(They should go in more depth on the actual invasion plan later, but the tentative kickoff point isn't for nearly a decade, and it's less a case of having a plan and much more a case of "several hundred branching plans, depending what goes catastrophically wrong first.")
Leareth wants to prioritize reading the notes of his conversations with Vanyel. It's probably going to be upsetting for Karal, but - he wants to be reoriented to that relationship, so that by the time they have the dream next, he can try his best to pick up where he left off.