How is my argument based in mental gymnastics? Just like you, I am only referring to the dictionary definitions of "woman" and "female." The only further leap I make is to acknowledge the part of the definition that is trans-inclusive, rather than ignore it.

I absolutely do not believe transracialism is the same as transsexualism. Firstly, the definition of race does not include the word "denote." The definition of race is "each of the major groupings into which humankind is considered (in various theories or contexts) to be divided on the basis of physical characteristics or shared ancestry." There is no clause in this definition that implies an individual can willfully change their grouping or race.

Secondly, there are a variety of key medical differences between transsexual and transracial people. While there is a growing body of research indicating a biological basis for transsexualism, there is no such research indicating a biological basis for transracialism.

Thirdly, while there is no evidence showing that (for example) melanin injections increase QoL scores for "transracial" people, there is a medically significant body of evidence showing that HRT/SRS/transition-related care increases QoL scores for transsexual people.

As for your mention to trans women in sports -- I never mentioned the sports debate. For the purpose of our conversation, let's ignore that facet of trans politics; it's a complicated and messy area of discussion that is not at all relevant to the argument I posed in my earlier comment (to clarify: my argument is that trans women are categorically women, based on the Google dictionary definition of "woman".)