What gender am I?

So, to immediately say, I don't expect other people to decide my gender for me, just help me a little (also English is not my native language)

I know that I am not a nonbinary, completely trans or cis person. For some time I've went as bigender, which doesn't feel very wrong. I do honestly, feel like both a man and woman at times, in the sense of: I would like it if someone looked at me and assumed I was a man (or woman depending on the day)

Pronouns-wise, I do prefer she/he pronouns, but at the same time if someone used they/them or even neo pronouns I would not feel less like a he or she, nor would I feel a major urge to correct them as long as they are respectful

So, my question is, does this mean that perhaps I'm not bigender? Or, do you think that there any other gender identities I should look into that could potentially fit me more? I apologise if anything wasn't worded very clearly, feel free to ask for more information if needed, thank you in advance