Condé Nast, the publisher of GQ and other brands like Vogue and The New Yorker, on Tuesday announced Mr. Baidawi’s promotion to the top job, effective immediately. Mr. Baidawi, 35, who led British GQ and was the deputy global editorial director, will now oversee all of GQ, including its U.S. publication and its global editions, as well as the music publication Pitchfork, which was folded into GQ in 2024.