Do US universities allow a professor to work in a brothel? Watch Sold in America: The Workers at 5:15, the owner of the Moonlite Bunny Ranch Dennis Hof says:

I have three PhDs working for me. One of them is a professor at UNLV (University of Nevada, Las Vegas) and a working girl for me.

Is this plausible?
Do US universities allow a professor (part-time or full-time) to work in a brothel (full-time or part-time) while he/she is working as an active professor at the university?
My question stems from the fact that this gives rise to the possibility that a student may end up having sex with the professor in the brothel. I knew US universities do not allow professors to engage in love affairs with students. So, having sex seems to be a far cry.
It's typical for US universities to require disclosure of certain types of outside activities due to concerns with conflicts of interest and to comply with federal guidelines:
https://www.unlv.edu/research/coi#guidelines
There are also typically clauses that don't allow outside activities to negatively impact work with the university.
I think it's likely that this would fall into a grey area where there is clearly no direct conflict of interest for the purposes for which such policies typically exist, but a broad interpretation could allow a professor to be removed if those outside activities were considered too much of a distraction. If students were aware of the other position or could be clients, that might be seen as more of a problem.
That might lead to a legal challenge but I'm not aware of any related legal cases related to brothel employment by professors, and broadly US employers have a lot of leeway in deciding who they employ. There is this story of a journalist-stripper-professor who was fired from her journalist position when her employer learned about her blog about stripping, but apparently not her lecturing position.
Note that having outside interactions with students doesn't need anything as potentially controversial as sex work. There are lots of ways students could potentially have a conflict of interest with a TA or professor if they have some financial relationship: if they hire them as a tutor, if they work at a bar/restaurant and are left a tip, if the students' parents buy the professor's house, all of these could raise a potential conflict of interest situation.