Hell, take a look at all the women Rat women and I betch they have been using the men’s room for years with no one even noticing.
I assure you, when you GOTTA GO, the sign on the door doesn’t become a magical lockout that denies you entry for lack of a penis.
Having had hubby stand guard at more than one “one-holer” while traveling where the ladies’ room was out of order (if there were no gents waiting to use it), I quite assure you...a toilet is a toilet, a sink is a sink, and a hand dryer is a hand dryer.