This is not how science is performed, declares Logic. It won't help us to enter two potentially valid doors at the same time. You'd need to test the consequences of entering an invalid door, as a control.

Composure observes, Barging into the women's changing room will be regarded as creep behavior.

Not if you're decisive about it, says Authority.

"One of us should go into the Women's room," he says, nodding sternly and uncreepily. "There's no other way to know we've chosen wrong."