How to know if Levfin groups are a "markets-based role" or actually part of IBD?

I'm an incoming SA interested in LevFin groups at banks and had a genuine question about how the LF teams are classified at different BBs. Was reading through an mergers and inquisitions post about LF at BBs, and I was curious as to how you determine whether the LF group at a bank is actually part of the IBD, or if it is just a "markets-based role" like levered DCM in disguise. Is this classified by deal flow/deal types/number of lead left financings/etc.? It seems clear to me that BBs like JPM/BAML/CS would place LF under their IBD, but how do BBs like UBS/Barclays/DB classify the LF team (hell, even GS LF kind of confuses me with how they classify it. I'd assume IBD cause it's GS but I just don't know)? And would classifying LF as markets related mean you're not getting as strong a skillset as those doing LF at a bank that has it as IBD?

I'd be lying if I said I wasn't thinking about this because of exit opps, so would being at a BB that has LF classified as markets also kill your chances at a PE role? It seems like it's the exact same work regardless of whether it is markets-related or IBD related so would doing LF at a bank that classifies it under markets completely kill my chances at UMM/MF recruiting? Thanks for the help in advance!