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).
That is bizarre and fascinating and she'll spend the rest of her stay there trying to figure out how to grab that magic and make herself generate it without making potions darnit.
(Not that making potions isn't fun, but, you know.)
The magic is stubbornly attached to potionmaking behavior, although if she wants her potions criticized she can take it out of each such behavior as she goes and have an inert result.
...she'll try that later to see if it's more efficient, for now she'll just make potions competently.
She gets magic out of fewer potionmaking actions and in smaller quantities than the more advanced students, although they say she's good for a beginner - they have to discern this by performing tests on the results, though.
No, the tests are things like "tasting it" and "measuring its viscosity" and "seeing what color it is".
And as for the difference between her potion ability and other students', is it strictly mechanistic or is there some component of the magic itself getting developed further? Does she produce the same magic when she mimics other students perfectly?
The magic is only produced when she does potionmaking things but it seems to react very strongly to how she thinks about them, so she can't mimic the other students along the relevant axes. She does worse when she's distracted thinking about metamagic, actually.
Drat. Okay, she'll... use a little memory blessing and store her thoughts elsewhere later so she can analyse them and in the meantime she'll focus completely on the potions.
Okay, so she'll continue to do this for the remainder of the time she'll spend there.
Except for the part where she'll also get to know to her co-apprentices when there is the opportunity for that.
They are pretty friendly. Closest to her equivalency is Marin, the elf who helped her apply.
The cafeteria is a reasonable place to run into most people but not the vampires, by and large. Those she has to meet elsewhere, like queueing for the lift.
Which she of course has to do and—ooh that girl looks like she has interesting magic Kaede hasn't seen before. She walks up to her, smiling, and says, "Excuse me."
"Oh, no, not at all. I'm new, got accidentally summoned from a different world and my kind of magic involves being able to see magic and you have some I haven't seen before."
"Yeah and I've seen vampires before—a vampire light, even—and dragons and mages and potions and this is different," she says, sounding excited.