Ucl or york

York and UCL are good universities, but the subjects you have selected lack may be perceived as lacking academic rigour, and this might disadvantage you when seeking training positions. You will be up against people with degrees in law, history, economics, STEM subjects, etc.
Many large law firms recruit university-blind. The quality of a candidate's education matters more than the name of the candidate's university.

The thing is I know which part of the law I want to work with (art/ trade marking and deals) so it lowkey wouldn’t make sense for me to do a degree in subject that has nothing to do with that

Save in highly technical fields, a wider education may be a better preparation for a career than one which specialises early. I am sceptical about the value of undergraduate degrees in niche business areas, because they tend not to be taught by people with practical experience of the business sectors in question. Other than in STEM fields and law, and outside academia and school teaching, it's relatively rare for a graduate's degree subject to be of direct application to employment. The graduate's analytical skills are what makes him or her valuable to an employer.

I'd recommend something with more academic rigour. A degree in business may be seen as a soft option.

Yes, about half of practising lawyers have degrees in subjects other than law. It appears, anecdotally, that the favourite subject after law might be history. PPE, economics, modern languages, classics, and STEM subjects also feature.

Yeah I checked and business was on the preferred list so I think I’ll be ok but honestly I was just hoping for an either UCL or YORK answer 😂🩷

If your question is simply "UCL or York?" then the answer is "It doesn't really matter".
But I think your question was (or should be) more around those two courses in particular. From your second post, it seems that you're potentially interested in IP, and that's great - it's a fascinating practice area. But I'd echo @Stiffy Byng's points that there is a risk that law firms will not see those subjects as being sufficiently academically rigorous. You'll know far more about those courses than me, but I'm not sure that you will learn much on those which would give you a significant benefit when acting as an IP lawyer (and certainly not enough to outweigh any perceived disadvantage associated with the "quality" of the degree).
If I'm right and that IP is the area that you could be interested in, then it's worth scrolling through some of the CVs of associates at the leading firms (the likes of Bristows and Bird & Bird would be a good starting point). You'll probably see that most have done law degrees, other "traditional" subjects such as history or English or, for those more focused on patents, STEM subjects.

So I’ve looked and a lot of barristers at the chamber I like did business but I’ll definitely think about your advice so thank you 🩷