I have a broken wisdom tooth in the back that has been broken for over a year but is painless. Am I still able to get braces?

I have a broken wisdom tooth in the back that has been broken for over a year but is painless. I have heart issues and anxiety and don’t want to get it pulled, due to the issues that may come with it. But i am looking to get braces to straighten my teeth. which i’ve had before. am i still able to get braces without getting this broken tooth pulled?