As you say:
'Egress' is also an option; however, I am not so sure if it is that commonly used.
Phineas Taylor Barnum, a United States politician and showman of the nineteenth century, used to have sideshows at his circuses where various "freaks of nature" and other rarities were shown. There would always be a corridor specially lit up, pointing out where people could go to see the Egress. Since no one had ever seen an Egress before, people would flock to that door, only to find themselves on the outside and having to pay again if they wanted to see the other exhibits.
P T Barnum is also famous for saying that no one ever went broke underestimating the intelligence of the American people. If you think he was wrong, check out some of the people who have held public office here lately.