The owner of Barneys New York, Forever 21, Nautica and Eddie Bauer has taken steps to go public. After eyeing the public markets since 2015, CEO Jamie Salter’s Authentic Brands Group is set to join fellow fashion-related players like Poshmark, Mytheresa.com, Dr. Martens, ThredUp, along with autonomous trucking startup TuSimple and medical scrubs startup Figs, in…