Can I join the Air Force with this type of Asthma? PLEASE READ?

Ok, so a question my recruiter asked me was if I had any asthma background, and I had to say yes for these reasons. When I was about 13 I was a cry baby and had low stamina due to not working out, so I went to the doctor and she gave me a puffer saying I had asthma. Well, i never used the puffer until 2 years ago when I got pneumonia and the doctor said using the puffer would help. Then, last year during the winter again, I got bronchitis and the doctor told me to take the puffer to help. Also, as part of the treatment for both of these sicknesses, the doctor gave me a nebulizer which would just help me get over the sickness. So I think I have used the puffer a total 3 or 4 times in my life and only because the doctor said to when i was sick, or else when i was just being a baby and never really needed it. I have never had any asthma attack and I run track so running isn't a problem. So I am wondering if the doctor can clear this up on paper so I can give it to my recruiter and have this not be a problem for me joining the Air Force.