I don’t know anything about the specific subject, (seems like I’d enjoy it!) but, I wanted to make everyone aware of a company (you may already know) A-B Emblem. They made (and still make as far as I know) all the NASA mission patches.
I have all the Apollo mission patches (including the big 8” program patch) and I brought my Apollo 10 patch with me when I met Tom Stafford. He asked me where I got it, because he thought it was off one of the other guys’ flight suit! (I had the mission patches on the back of a leather jacket for a few years)
Anyway, American flags, meatballs and worm NASA patches of perfect accuracy are there. For what it’s worth. They may do custom ones too- I never asked but that’s their thing...