At $35k a week, you could have a dozen employees, easy. Rich people don't usually tend to pay nearly as well as one would think
Plus, the company that is a billionaire is getting possessed by our department, it's part of their wealth, and the jobs go with it... Security can run security, housekeeping and maintenance will work the properties, even cooks and nutritionists can float between our special guy/gal properties the way they do now, just following a schedule instead of their billionaire. Their finance people can apply to join the department, although they'd probably not be a good "culture fit"
They're free to hire a few people as bodyguards or an entourage if they want. It's their stipend
The whole idea here is to distract these people so they don't destroy the world. Taxing the shit out of them is all well and good, but they're always going to try to exploit the rules and lobby politicians. It'll be an endless flight - we ended up here in a century, we'll end up here again
Instead, we turn it into a prestigious thing and give them new games to play, new ways to flex on each other that doesn't use the rest of us as a game board.
If some servants of billionaires end up out of a job? Sorry, enjoy having a working social safety net while you job hunt. Enjoy a flourishing job market now that the velocity of money is no longer hampered by dragon hoards
Or hell, with the insane assets billionaires have, we could pay their wages for life and barely touch the bottom line