I’m not sure what the poly you’re talking about is, I don’t know too much about it, though I do believe it isn’t multiple genders. However, Bi can let you have preferences.
Not to be confused with Omni, where you like all with preferences. Bi is liking some, generally with a preference, and poly is some but no preference.
Though I’m not an expert on bi or poly, so don’t quote me on that.