Need a long and detailed analysis along with a personal decision for the following legal case.

A case has been assigned of 3 female athletes who have filed a lawsuit to prevent Trans athletes from competing against them. As a Federal District Court Judge---duly appointed by the President, vetted by FBI and confirmed by the US Senate as a Judge in Conneticut.

Voice out your opinion that will either dismiss their claim or affirm their claim, with a long and detailed analysis of the case. Support your opinion with you reasoning the same. Link given below for reference of the case

https://www.courant.com/sports/high-schools/hc-sp-ciac-transgender-federal-lawsuit-20200212-20200212-wjk3p4i3evh25ayp7kksefmf4i-story.html