I remember Immanuel Velikovsky talking about a place in the Sinai called Tharu, where Horemheb exiled prisoners after cutting off their noses. He thought Tharu was another name for El-Arish. Could this discovered "Tharo" be the place?
Interestingly, it sounds like the gate itself is called Tharo, as in, the Tharo gate, suggesting one left through it on the way to Tharo (Tharu?). :')