The upcoming Supreme Court case on transgenderism

This case is discussed here:

Supreme Court will hear cases in January on transgender athletes, gun rights, and Trump’s firing of Fed governor - SCOTUSblog https://share.google/letw0rFT8Z7DP3ayR , 

Tuesday, January 13, in this particular case.

We almost surely know how the three left-leaning female justices (Kagan (Jewish), Sotomayor (Hispanic), and Jackson (Black)) will rule - all in for transgenderism, however they justify it.

Likewise the four right-leaning justices (Thomas, Alito, Gorsuch, and Kavanaugh).

The question is: 

how will the two centrist justices, Roberts and Barrett, rule?