Do you understand what attached means? My military son in law is attached to one of the special force units...yet, he is only attached.
If he were attached to a State Department unit, would "Overseas Service" be among the set of State Department entities to which he could be attached?
If Carl wanted to be believed, he should have picked a valid unit to which to be attached. And of course, it would have helped had the BC been genuine. But we know it's not. So, Carl is a LIAR!