Is it too late to choose a better feeling name?

I've been out to my family and a few friends for about a month maybe. I introduced my chosen name 'Ajax'.

But now I've been feeling better about the name 'Nico' (or Nicholas and then Nico as nickname) because where I'm from Ajax is like a dead giveaway that you're not cis.

I kinda want to be Nico now, but I don't know if I should, because my parents even updated the sign on my door from my deadname to Ajax.

(It's sounds kinda dramatic to voice the question like this, but) Is it too late to change my name to Nico?