You do what works for you, but that doesn’t seem like the original intent. They/them is for everybody by default. You don’t really need to list it besides to say you don’t recognize others. The first and second pronoun listed is usually the same gendered term, but for a different purpose. He/him or she/her are both male or female respectively.

I’d argue to write what you’re saying it should be she/her/they/them. It doesn’t really matter at the end of the day, but it does make the format confusing if the rules become murky.

I’m a cis man though, so it’s not really my place to say.