Marc Malkin Senior Film Awards, Events & Lifestyle EditorRumors were swirling last week in Washington, D.C. that James Corden was shooting something for the White House Correspondents’ Dinner when he was spotted with camera crews at 1600 Pennsylvania Ave.Now I can exclusively reveal that the talk show host shot a “Take a Break” segment, inspired by his “The Late Late Show” series of the same name, that will open the annual so-called “nerd prom.”“They shot in the Briefing Room, the Oval Office and the Navy Mess,” veteran awards show producer Bob Bain, who makes his debut producing the dinner this year, tells me.