The truth is, no one can tell you, except for you, and often we ourselves don't know. There is no single label used to describe what you're talking about. It can be a form of non binary experience, but that involves your experience of gender, it isn't just about the physical. There's "altersex", which doesn't speak to gender at all, but it's not widely understood, and is also popular with transmedicalists who try and gatekeep other folks validity, so it can carry some unwanted assumptions in people who do recognise it.
And honestly, there is the possibility that it's not "just about genitals". There could be more to this than you're willing to admit, even to yourself.
I was similar to you. I'm a trans woman, and I spent so much of my earlier life literally wishing that I was trans specifically so I could access bottom surgery. If I could have had surgery than magically changed me down stairs, but changed nothing else, I'd have jumped at it. But, of course, there was more to it than that, I was just deep in denial... That's not to say your experience will be the same as mine. I just want to raise it as a possibility for you to think about.
It's a lot of words, but honestly, my advice is to just use whatever feels right, but without getting attached to the specific label. Use it as long as it feels right, but if it stops feeling right, give yourself permission to change it. And that's true even if the label you end up with is "cis woman who wants a dick". As long as the label is working for you, rather than against you, it's the right label