Since the time I last posted on this subject, I submitted the PHA forms via MODS, and attended the appointment scheduled for me by the folks who schedule the annual physical and dental appointments. I carried a copy of my chart from the psychiatrist who treated me since the time of diagnosis and submitted it with the other relevant paperwork. Also submitted was a copy of an MRI report from May wherein the radiologist diagnosed a Level III meniscal tear.
A few weeks later I noticed on the AKO website that my deployable status had changed from green to red, and that I had a temporary profile under the heading "manic depressive psychosis". I checked the AKO website again today and noticed that my deployable status had reverted back to green. I am now considered deployable without any restrictions. Under this section of Medical Readiness is the documentation of a permanent profile, which is listed as "Manic Depressive Psychosis, Stable".
It appears as though the diagnosis of Bipolar Disorder is not going to cause any issues in the immediate future.