"Don't you have Muggleborns?"

"I think they're rarer than humans. Maybe some human Muggleborns aren't. But we do have some, and we account for them in the credits so it stays even on the whole."

"Huh."

"They're going to relax it, now that there's a new source of supplies."

"Heard I could have five children. How do you stop 'em if not a potion?"

"They'll take them and curse you so it can't happen again. In countries where that wasn't enough disincentive they kill them but here it's always been enough -" shiver - "want to head back?"

"No I mean how, if you don't have a potion, do people not get knocked up."

"Oh, there's a spell for it. Other than the one that's permanent."

"That sounds way more convenient, can you teach me?"

"I wouldn't count on it working for humans, but sure -" It is not trivially pronounceable, either.

"Llah- illa- leh- Bleah, maybe somebody'll reincant it."

"Bet so. Not all of your potions have the same effects on us, either, though it's usually minor differences. Someone's cataloguing, said they'd publish by the end of the year or something."

"Cool. Thanks for everything."

"For sure!" Pop, back to her apartment. "Owls can find me fine, here, if you think of any other questions."

"Sure thing."

"Thanks for coming."

The witch goes home and shows up to the shuttle. She tours Anitam and is fooled by various actors and accepts a deal to dramatically expand the inside of a building for the "new extension of the government buildings". She accepts her title and gets a little-on-the-outside house near Lakla.

Actors are very pleased with themselves and half expecting really-actually-magic babies and frantically write up everything Ways can think of as magically innovations of their new society.

Some wizards from the Kingdom of Imerina grab the ""ruler of the planet"" out of his bed one night.

He went home and complained to his colleagues and one of them knew of secret wizards. The secret wizards at home have a procurement system for Muggles and thereby avoid kidnapping them and getting arrested for it. It'd be nice if these wizards would settle on something like that but his orders from home are to try to hold the Statute together even if these wizards won't do that. 

They try to erase the memory afterwards. He can prevent that and blink appropriately dazedly.

The Kingdom of Imerina announces this to the rest of the wizarding world.

Yay for Imerina! What's the deal with the procurement system?

Apparently, since their government records so much and investigates disappearances and amnesia so thoroughly, it was getting to be a real problem for the wizards in Anitam. They told the Anitami government to figure it out and the Anitami government agreed to arrange to help them abduct people if they filed a request. So that's the way to do it without causing any kind of Statute trouble or risking arrest.

But what if you just want somebody for like an hour and do not require that they be fake executed.

The Imerina wizards did not actually get into the details of the procurement system much but it'd be weird if it did not have a provision for that so probably it has a provision for that.

The minister of wizarding Russia takes it upon himself to write Aitim for details on the system.