You’re confloating scientific issues with social issues.

The social factors are that a person claiming to be a man, wears masculine clothing, has masculine physical characteristics, such as a beard, large physical stature, deep voice, yet this person is trying to enter a female restroom.

The science says this person produces the larger, “egg” gamete, and is therefore female.

Your interests here are social, not scientific. That this man produces eggs is not a significant factor; this is a social issue, not a scientific one.