Every woman needs to carry a good old-fashioned doorstop in her purse; one of those wedge-shaped things with the rubber traction strip on the bottom. If forced into the need to use a restroom in “gender neutral” territory, enter, wait until other occupants leave, then close the door and kick the doorstop into place. HARD.
Carry on business as usual, then kick the stop sideways to remove it. To any who complain, the instantaneous retort should be, “It ain’t my problem, Dearie; take it up with the Legislature.”
Having used public men’s rooms for sixty plus years, I’d say women need to carry cleaning supplies, also. There are alcohol wipes in sealed packets now ... just sayin’