I'm a little unclear on how the furry identity works. Is it like an LGBT+ thing where you just are this thing regardless of your feelings or desires, or does wanting to be a furry make you one? Like, I've fought against being trans much of my life, but now I see I pretty much always was. But I don't know if liking the puppygirl idea makes me a furry, or if that's something I have to have always been? (this is not a reaction to a recently popular puppygirl, I've meant to ask this for a while) I also may be terribly misunderstanding furries; that's a taboo subject where I live, so I don't know much.
"born this way" has always been more of a rhetorical device than anything else. Your identity is valid even if you 'decide' to change into a new one because of a thing you like. That's just as true for gender and orientation as it is for something like being a furry. You do you!