Most Hollywood action-comedies handle undercover failures through manic verbosity. Characters ramble, invent elaborate backstories on the fly, or scream their way through accidental gunfights. Tatum did the opposite. He removed language down to its barest components.
The sound design of the scene heightens the effect. The background score drops out, leaving room for the dry acoustics of the room. Tatum does not blink. His eyes dart nervously, yet his facial posture remains completely rigid. By refusing to wink at the audience or acknowledge the stupidity of the alias, he grounded the absurdism in raw psychological truth: Greg Jenko genuinely believes "Jeff" is a functional disguise.
That restraint distinguishes durable comedic memes from disposable movie one-liners. When an actor signals that they know they are being hilarious, the joke dies quickly. Tatum played the line with total, earnest vulnerability.