"Hellooooooo?" she calls out, feeling guilty about probably bothering someone doing something more important?

She realizes this is not very Duchess-like, clears her throat, and tries again.

"I'm waiting!" she cries imperiously, but perhaps the effect is ruined when she also giggles a bit. It's going to take some practice to believe that she has rank and therefore privilege.

Well, it's questionable how exactly rank works when she's in prison!  But in any case, a guy will emerge from the office tree after a half-minute.

"Whatcha want?"

"I'd like a wizardry tutor, please! Ideally one who knows everything from the basics up to very advanced things, and can work with..."

How should Opalyn describe herself?

"...someone with weird patchy holes in what she knows."

"You're new here, aintcha."

"I am. Why, what have I misunderstood this time?"

"So there's two kinds of teachers we got in the Facility.  Kind number one, wizard teachers who wound up in prison for one reason or another.  Some high-ranking operator from the Farm goes to the prison on Capital and says, they want to buy a hundred of them.  That operator ain't checkin' very hard how good they are as teachers.  Ain't their skin gets burned.  You can have one of those as a tutor and basically do what you want with 'em, even fuck 'em if you want to spend the chastity tokens on that, whatever."

"Kind number two, bigshot wizards and wizard teachers who want to run themselves a lewd school.  Obviously, anyone like that can afford to build themselves a lewd school if they wanna.  But here's where they can put captive nobles through their paces in it.  You go to that class, you're on their schedule, you're one of several students, but the teacher is some famous bigshot wizard."

"Are the bigshot wizards any good at actually teaching?"

"The ones who ain't are pretty good at the lewd part of lewd school, I'd figure.  Or good at getting you really upset.  They'll be good at something, anyways.  You ain't actually forced to show up, at least not on this month's set of rules."

"Well, I'd like one who's actually a good teacher, if you've got any of those. I don't mind if there's a schedule or other students or any of that. And then if there's a long wait for that, maybe I can sign up for more than one and I'll get in faster that way?"

"Not sure exactly who's what, it's not like I study here.  Recently got in a famous archwizard, He-Who-Ascends, he certainly has the knowledge, rumor says he's got the lewds, no idea if he's a good teacher.  You could go over to his tower, see if he's in or if his secretary has any such thing as a waiting list."

"All right. How do I get there?"

Directions can be provided, and Opalyn can be sent off down further passageways--possibly spatially-compressed ones, actually--until she's reached the Lewd Dramatic Academic section of Lewd Dramatic Prison.

"Hi!  New student, or just dropping by to punish one of your minions whose grades have been slipping?"

"New student! Here to learn wizardry! Already know some math, not sure how to connect it to magic."

Opalyn is wishing for a syllabus and some required textbooks and a schedule for the midterm and the finals but this probably doesn't work like that.

"Wow!  How'd you end up in that state of knowledge?"

"Oh, that's just how it is when you grow up in a strange family!"

It feels like a game, now, only saying true things about her own history, while trying not to provide much actual content.

"Oh, word.  I'd introduce you to my family, if I hadn't already killed them all."

"Anywhere you're trying to get to from here, or just here to hang out in study hall and get the lay of academica before you academic or get laid?"

"Dude at the entrance to the Academy sent me here looking for He-Who-Ascends?"

"Ambitious!  That door over there," finger-point, "pass three doors on the left, take the fourth door on the left, then the first door on the right and that'll be his tower.  Only not his actual tower, obviously, just his in-Farm tower."

(The newcomer is getting his name wrong, but the speaker is not going to mention that; she is a very good obedient prison inmate and never averts drama.)

"Thanks!"

Oblivious, Opalyn continues as she was directed.

This... is probably the entrance to the "wizard's tower"?

This is... imposing.

Do they have to haul all these building materials up from the planet below or can they just materialize it using magic somehow?

Opalyn looks around for handles or doorbloopers or any other obvious means of entry, or of signaling that she wants to enter.

She also mutters "friend" under her breath. Just in case.

There's things on this door that you could try to press or pull.  Possibly one of those is a doorblooper!  Or a self-destruct lever!

Opalyn starts pressing and pulling things, slowly, gently, one at a time.

This is going to piss off the powerful wizard, isn't it.

After pressing a silver isoceles trapezoid that is aesthetically very unobtrusive (because great UI design is all about hiding the controls!), there's an audible "bloop" sound!

A moment later the doors crack open and a weary woman's voice says, "Enter."

Opalyn enters!

"Hello!"