So, since the
cough still hadn't gone away, I went back to see the doctor again today.
The nurse opined it's something viral. The doctor ordered bloodwork (taken in office) and a chest x-ray (which I got done after work) and a methylprednisolone dosepak (which I filled after I hit the x-ray place). I also picked up some guaifenesin on general principles. The Medrol pak is a card with some of the most convoluted instructions. But we'll see how it goes. The doc should have my xray and bloodwork results early next week.
Part of me thinks this is a total overreaction. On the other hand, a month is way too long to have clogged lungs.