remember though beth and kat are evil and do not play fair so ether way this will not go down simply for ether of us. going by what you just said we just stole a lot of her product and ruined her plans. it will end in a fight of some sort or the creation of a recurring enemy if were stupid and don't finish her off. theirs no peace with someone like them, were rather with them or agents them.
plus i just added the we get a brothel as a joke. we wouldnt get it, it would defiantly go to travails (didn't spell her name right, the goo girl) she would be a significantly better mistress then us. while eden would probably take over the cathouse on tarkus. were way to sporadic to own a business
1) Beth and Kat are opportunists. They'll play the way that benefits them most - if fair play would have them get their way, they'd do it. Considering their operation flirts with illegality (since Beth doesn't technically sell slaves), they're bound to take all their options into account first. And while they're morally wrong, they're about on the same level of mafia drama protagonists at the most. Evil is a bit harsh here.
2) It doesn't have to end in them "being finished off" because the PC has at least two opportunities to befriend members of law enforcement that are pleasant and accessible to every player species (Penny and Sylvie) so finding a peaceful solution that still ends with the law being applied is possible if you can prove they're breaking the law in some form (which I think is a valid approach). There's no need for Steele to turn full vigilante. Furthermore, if your Steele was morally ambiguous and, say, not generally against the contracts Beth offers, a simple "live and let live" option would also have to be offered. If this is about resolving a conflict, a neutral option ought to exist if people want to headcanon that way.
3) Owning the business and running it are two different pairs of shoes. If, say, the building formally goes into Steele's possession, they can then do with it what they want - turn it into a brothel that complies with the law and appoint a Madam of their choosing to run it, gift it to the workers to do with as they please or make something else of the building entirely (for example, turning it into a less saucy establishment or having it as a new option for Zheniya if the PC is fine with her remaining a prostitute but, say, concerned about her safety/ or having her as an additional option for Madam).
4) Owning a small business would actually serve to hone Steele's business sense; the problem would of course be that some sort of management system would have to be implemented and I think it's fairly safe to say that Fenoxo and company would strangle whoever brings such an option up in their sleep. It's not that Steele is too busy in general, considering half the planets in existence are merry little detours on a meandering quest. If the PC wanted, they could manage everything via ExtraNet from their ship's cockpit.