Thats a great PC!
I have almost the exact same specs.
Premiere Pro runs fantastic for me however the only problem is it kind of lags when editing 4K or 1080p 60fps so unless you’re editing 4k or 1080p 60fps, It shouldn’t be a problem at all. I don’t think any cooling for the gpu is necessary because I don’t have anything cooling my gpu other than the built in fan and it never reached over 60 degrees celsius. Maybe when rendering but rendering usually only takes a minute for a five minute clip…