This points out the simple solution this problem that I’ve been advocating all along. There should be only two restrooms, teams, dressing rooms, showers, etc. They should be labeled XX, and XY. People with matching chromosomes only, would be allowed in each place. There might be a very small group of people with 3 chromosomes, and they would be assigned on an individual basis.
Anyone might chose whatever pronouns they wish to be addressed with, but these would NOT be enforced by any governmental organization, based on the actual intent of the first amendment.
Decisions on facilities with plumbing should be based on the user's plumbing? That makes sense to me.