On the below linked page, number 24 on the list it mentions a "Building Director" and that the Building Director must have a badge, maybe that is the badge that you have found, I couldn't find an image of the Building Director badge to confirm that, this organization is in Virginia, I couldn't anything with a LOGO as is on your badge any closer to NYC.
Chances are slim that this is where your badge came from, but it's all I could find that came close to the logo on the badge, even doing a search of various combinations of the letters C, Y, & A.