You cant use female spaces as that makes them a mixed sex space.
If you and the TRA spent the time and money lobbying for a fourth space you could have had a place to use.
But that is still not happening and the West is becoming more aware of the conflict of rights.
Judges will not be allowed give away womens spaces to men feel they who cant use the mens space.
Politicians will talk a good game but if its reelection or telling voters that men should be allowed into the womens and being voted out most will pick the vote.
Your hope of winning cases is only going to make the public more aware of the problems if men win access.
At the end of the day most men know that they dont want the women the know in spaces with at lest one of the men they know.
And the nurses case was the women having to prove they did not have contractual obligation to provide a strip show.
So win or loose the cases will only draw attention to the demand to break the social contract.
You break the social contract in your daily life and enter womens spaces and you may never be told directly but it is noticed and that breach creates a level of distrust.
It is clear that you dont understand the problem and also understand but you dont care. The dont care bit is what women spot and remember.