No you didn’t. I didn’t say anything about gender having to be defined by biological sex. You inserted that as a strawman to give yourself a response. Furthermore, you said what gender ISN’T. I asked you what it is. Here, I’ll make it easier for you.I gave you an answer, if you want to play stupid, I'm not going to play along.
Give me three genders and explain to me how to objectively define each of them.