Thank you for trusting your question to JA today. I am a licensed attorney with over a decade of law practice and over 20 years of experience in the legal field. I’m happy to be of assistance.
AFM 39-10 is just a reference to an old Air Force Manual for separations. For anything to happen in the military, it has to happen based on a regulation. That particular AFM is what allows one to be separated from the service.
Now, nothing that you've stated here gives any indication of a negative discharge. The AFM reference is ambiguous, because there were good, neutral and bad reasons for discharge under that manual.
But if that was the reason they were denying, you'd they'd outright say that because it'd be a closed case. If their position is that your discharge status disqualifies you, that would be concrete and they would just state that as the reason.
Regardless, I would need to know what paragraph was referenced to know if the discharge was considered punitive in some way, so if you have that please feel free to let me know and I'll look it up for you.
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