For those of you who believe in the existance of souls & possibly reincarnation: Do souls have a gender?

First of all, I don’t need any bullshit about how “souls & reincarnation don’t exist”. This question is for the people who do believe.

In most of my past lives, I was male. Does this mean that I have a male soul?

Or are souls genderless, & it’s just coincidence that my past incarnations were male?

What do you think?