Continuity mistake: Hogan and Klink are asking Schindler/Brewster about a diversion at the airfield. Brewster has both hands on the coffee cup until the angle change, when his left hand is suddenly out of his pocket.
Continuity mistake: When Klink and Hogan are looking at the Mustangs, Hogan has just sipped his coffee and holding the mug at chest level, at the top button of his coat. When the shot changes, he's holding it waist high. Also, the flight line full of planes is a grainy black-and-white projection super imposed in the shot of the window.
Answer: Nimrod's actual identity was never revealed in the series. It was only known that he was a British intelligence agent. Nimrod was not Colonel Klink. Hogan had only implied it was him as a ruse to get Klink returned as camp commandant, not wanting him replaced by someone more competent who would impede the Heroes war activities. The term "nimrod" is also slang for a nerdy, doofus type of person, though it's unclear why that was his code name.
raywest ★
"Nimrod" is originally a king and hero mentioned in the Tanach and taken into the Bible and the Koran. His name is often used in the sense of "stalker," "hunter," and sometimes figuratively as "womanizer" as in "hunter of women." I've never seen it used to denote a nerdy person, and although I cannot disprove that connotation, I think given his role, the traditional meaning is more likely the intended one.
Doc ★
It's widespread enough that Wikipedia has an entire section on it: https://en.wikipedia.org/wiki/Nimrod#In_popular_culture