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Exactly this. I had a character go to a brothel in a campaign I ran. I just said okay, you go to the brothel and have whatever you consider a good time. No further detail or RP was requested or required.
I will add that you can also charge them a fortune for it.
Nope, no, that’s encouraging their behavior. Now your player thinks you’re giving them a quest to earn enough money to play out their brothel scene.