Kaede's flying with purpose. He has Information and a little artefact to prove his Information is correct. This will be grand. He's flying and he's grinning and life's (reasonably) good (terms and conditions apply).
"Wow. I was planning on looking into countries and borders and geopolitics stuff at the library later, but wow it must get complicated with so many people—and I expect lots of countries, too?"
"Like fairies are yea big," she gestures, "and often have entire fairy cities in, like, parks inside cities for larger people, and self-govern but don't do international politics on their own, just through the host country."
"It's kinda weird that this magic needs these two specific kinds of actions to be done."
"There might be another way to do it - fairies and pixies use different spells than we do, so do merfolk - but nobody's found one."
"And that also sounds like exactly the kind of problem I might be able to help solve—or figure out that and why it's unsolvable."
He shrugs. "Look at the magic, figure out how it's interacting with gestures and words, figure out why and whether that can be attached to anything else, whether that's a fundamental aspect of it or other ways of accessing it just happen to be harder to lock on for some reason. My kind of mage's whole schtick is understanding magic, reading it like a book—a bit like a book in a foreign language I don't speak but yeah."
"I'd look at as much as I could. Watching any magic of a given kind at all is—sufficient for me to understand it; but watching people use it, or fail to use it, or do different things with it, or have them explain it to me, taking the book in a foreign language metaphor a step further, is like getting a sort of dictionary, or a large corpus in that language plus a translation—it helps me understand the magic faster and more efficiently and not accidentally go off on a fruitless tangential misunderstanding."
"Oh. Well, you landed in a wizardry school so there'll be lots of wizards to look at."
"Yeah. Speaking of which, how about that one classmate of yours you wanted to wave me at?"
"Nemaar? Uh, the whole thing kind of spiraled out of control and I don't think we're going to go out of our way to show off how we summoned you to anyone."
"Complicated spells in general... I don't know why she picked summoning in specific."