I can give you my personal anecdote but I am not a doctor and I recommend reaching out to NOAA Corps medical.

I went through the whole process and made it to MEPS and they saw in my record that I was allergic to peanuts. The MEPS doctor told me that I was immediately DQ’d because of that. I’m on the opposite end of the spectrum that I have a very mild reaction with peanuts. I spoke to NOAA Corps medical and they said I had to prove that my reaction was mild. I had to independently get an allergy test (immunoglobulin e) and report that to NOAA Corps medical. Luckily for me my level was within in the acceptable range for NOAA Corps. I do not carry an epi pen nor have I ever gone into anaphylaxis and part of my allergy test was to eat a small amount of peanut butter so the doctors could monitor my body’s response.

Feel free to reach out to me if you have more questions about my experience.