To embed a link to an older Medium story, I simply copy and paste the link onto the new story. Once you hit enter, Medium does it's magic and turns it into a presentable preview box.
I think that story would be very valuable to share. Especially since the convention wisdom/advice for new writers is to get their work into a top pub. It is good advice but it is limited in scope because no one tells you how to do it and what are the common issues. If you wrote about it, I would be interested in reading it!!