The term you'll want to search for is "digitizing". It's roughly the embroidery equivalent of CAM design in CNC manufacturing.
Depending on how much time you have, this video[0] is a decent in-depth overview[1] of the various ins and outs of embroidery patch digitizing. I'd give it a watch while you're on a walk or something.
[0] https://www.youtube.com/live/jATHlfz8mtM?si=Lvw-ZTq8tmLg9ij-
[1] Heh, "in-depth overview" sounds like a total oxymoron. Hopefully you get what I meant!