I have not seen any sort of barbed fitting for those. That said, I sure aint seen everything. Methinks that air stem just uses the standard style pump with the rounded end. #3's are the coolest little things. I passed up one at a local junque store many years ago, it was just so small.........but when I finally got one I fell in love with it
This is what I have for AGM couple of different models, pump has small round nub and tank fitting has small rounded dimple. AGM #6 I have uses a screw in fitting and a small hose from the pump (no pics of this). I have found the pumps online Evilpay occasionally and or various antique shops at times. Good Luck there is one somewhere out there.
Thanks for the photos! Yours is very different from mine. It would be nice to have one like yours because I have seen pumps that fit it. I’m not that lucky.