I’d like for it to be easier to open YouTube links in my browser.

Every time I select something interesting, it opens my app. Maybe this is just a setting I’m missing. Not sure.

Maybe just a “copy link” button?

This is an Android thing. In your Settings > Apps > Default Apps > Opening Links > YouTube - Disallow “open supported links”

Depending on your phone, the way to get there might be different, but it’s the operating system that handles links.