I don’t think my path to editing comics is what anyone would call normal since the bulk of my comic book career has been in the publicity space, so I’m hesitant to speak with any authority. I’m also in the very early stages of being an editor, so I’m not really an expert, by any means. But I’ll do my best.
Being an editor - at least from what I can tell - is unlike writing or art because it’s not a freelance position most of the time, it’s a full-time, in-house office job. You have to apply, interview, come to an office daily, etc. At least in terms of comics from DC, Marvel, Archie and others.
I would suggest keeping your eyes on the respective job/career pages of the comic book companies you’d like to work for. Have an updated resume ready to load/send when a job you’re interested in pops up and treat the opportunity less like A DREAM COME TRUE and more like a job.
In terms of experience, I think it helps to have some writing/editing/publishing background, but that’s not the be-all, end-all. Comics experience - be it in production or some other aspect of the industry is good, too, because it shows you know the quirks and tropes of comics. Also, you should LOVE comics. That’s a given. Because editing is hard work and can be thankless. But I’ve also seen how rewarding, inspirational and just plain awesome it can be. So, there’s a huge upside.
Hope this helps and good luck!