(Lots of people have harems of enslaved logicians!  It's not weird!)

Mechanicsburg is around 1,500 miles away and the main predictable way of getting their attention is to be an overly powerful Spark who might challenge them for dominance.  But you can also, for example, get their attention by sending two hundred warrior homunculi to assault the Castle Heterodyne, as in the famous case of the Skull-Queen of Skral who succeeded in getting Dagon Heterodyne to track her back to her own castle and overcome her army and storm her private sanctum and marry her.  Though this may also have had something to do with how the Skull-Queen dressed.

Noted! Opalyn suspects that Doctor Disaster is not currently prominent enough to draw the Heterodyne family's attention, and she will avoid sending any warrior armies to assault their castle unless she's thought through the inevitable marital consequences!

Wandering around and meeting people and talking to them is paying off!

Opalyn thanks this earnestly helpful young person and takes her leave, continuing to head for the exit of the castle.

It may take some puzzled moments for Opalyn to work out how to go B and then A at the appropriate intersections, but pressing Start on the final elevator will seem obvious enough!

She'll emerge in a place that has clear line-of-sight on this corner of Little Damar, with sunrise now fully in swing modulo some mountainous mists.

She made it! It's quaint and charming! The name of the market should probably be Ye Olde Foode Shoppe!

The fruits and vegetables all look familiar from a distance. Do they look like standard tomatoes and peppers and so on? How does that even work? Why is there such a high degree of commonality between this world and her own? Should Opalyn have read more physics books?

Yes, if Opalyn walks closer, they'll go on looking like standard tomatoes and peppers and carrots and also, it appears, giant orangish balls and inscrutable edible topiary.  And yes, probably anyone who'd read more physics books would already see why any random alternate universe would have recognizable hominids as well as standard tomatoes and peppers and inhabitants that speak English.

Hmph, well, the fact is, there were a lot of books to read and Opalyn read other books, under the theory that hopping to a parallel universe seemed vanishingly unlikely, and, well, here she is, underprepared and feeling a bit salty about it.

Anyway, she'll lift up her chin and go into the Shoppe and see if she can infer anything about the local culture and economy based on what they have for sale. She's a bit worried she might actually have to interact with the shopkeeper, as the place looks cozier and more enclosed than she pictured, but everyone's been friendly so far so she'll just brave it.

Household necessities do seem to include a lot of mysterious vials -- though behind the counter, maybe they're expensive.

Opalyn's strange interdimensional garb will garner an interested look from the shopkeeper.  "Welcome to our humble little shop, ma'am.  New in town?  New to Europa, maybe?"

This is indeed not the faceless, anonymous, snack-aisle browsing Opalyn was going for! She had hoped to browse the local equivalent of the Swedish Fish and Donettes aisle, but it seems like they mostly eat fresh vegetables around here! What a primitive place!

Well, she'll make the best of it.

"Yes, you're right, I'm new here, just exploring a bit on foot this morning. If you're not too busy," -- and it seems she's the only customer in the shop -- "would you mind answering a few questions for me? Like, how is this shop supplied and who shops here?"

"Ah.  Scoping the place out for an invasion, I take it?"

"As a matter of fact, no, more like trying to secure it from invasion and ensure prosperity and health for all. Question still stands though."

"Yes, of course, but you've got to invade us first, see, to secure us from being invaded by other people, and ensure our prosperity and health."

"We get our supplies roughly weekly, when the trade-blimp from Doomton descends in on its way to the Perilous Wasteland.  If you ask in at the guard-station a couple of streets down, they'll have a more detailed schedule."

The naming scheme in this place! Opalyn wants to found a new city and call it Happyville and see how confused people get.

"Is the blimp pretty reliable? Does it always come on time, fully laden?"

"...nnnnooooo?" the shopkeeper says, sounding very confused about where in the entire world you'd find a supply blimp that kept a reliable schedule.  "The Doomton Blimpers aren't exactly the Corbettite Railway -- who did you say was going to conquer us, again?"

"So what do people do when the supplies don't come on time? Do people have to stockpile a lot? How do they get on?"

Opalyn ignores the question about the invasion for now, though she should probably address it before she leaves, lest she inadvertently start a rumor.

"Nah, that'd be expensive.  There's always enough rats n' weird tentacle things bopping around in the basements and sewers to tide you over another few days if you run out of cabbages."

(Of course they have stockpiles of salt-fried ricecakes and the like!  But he's not going to say that to a would-be invader.)

A rather weary-looking man strides through the shop door, then.  "What's the issue, citizen?"

"Says she's here to conquer us in order to make us safe from invasion and ensure our prosperity," says the shopkeeper, who promptly pressed an alarm button to alert the nearest guard station.  (The nearest guard station is also not particularly where you'd go to find the blimp schedule, to be clear.)

"She threaten you?  Hurt anyone?"

"Nah.  Well, my feelings were hurt that she thought I'd betray Doctor Disaster that easily, but I don't blame an outsider for that one, she wouldn't know."

"I work for Doctor Disaster, you dunderheads. I'm new here and trying to figure out how to make Disasterland great again."

She crinkles her neck the way she practiced before.

"You can stand down."

"So it's not that I don't believe you, but that I ought to check.  Would you mind terribly stepping over to the command station with me to verify that, Mistress...?"

"What part of stand down felt unclear to you?"

Opalyn straightens her neck again. It's kind of exhausting using the voice collar.

"Doctor Disaster assured me that speaking in his voice through this collar would be sufficient to convey his authority. Is that not so?"

"It'd had helped if I'd received explicit orders to that effect from somebody I already knew to be in my chain of command?  I agree it does sound like exactly the sort of thing our good Doctor would do, and then expect everyone else to figure out on their own without his bothering to have sent anyone orders about it."

"Are you in the middle of anything urgent I'd be putting you out of your way from doing?"

On the one hand, Opalyn is by nature inclined to collaborate with this very reasonable request, and indeed to commend this guardsman for his sensible actions and decision-making.

On the other hand, it's a worrying update that the collar does not successfully convey authority, and Opalyn wonders if she takes any damage to her authority in the long run if she goes along with this request.

Back on the first hand again, he can totally make her, and there's nothing she can do about that. Getting forcibly arrested would definitely not be good for her authority.

Compliance it is, then!