Have They Lost Their Minds?
NPR reported on the Pentagon Sending Special Ops to U.S. Embassies
This is exactly how you create international incidents. Everyone working at an embassy has to keep the professionals from the State Department apprised of what they are doing, because it affects the diplomatic relations between the US and the country involved.
People in my Air Force specialty received embassy assignments. I left the Air Force in part because I was passed over for an assignment to the Moscow embassy due to my being single. If I had received the assignment I would have had the American ambassador inserted into my chain of command.
This sort of "cowboy operation" is going to get somebody killed and there is no "plausible deniability" when the people involved are in the US military. In a lot of countries such operations would be considered a casus belli