Separating chess.com from Facebook

My chess.com account is connected to my facebook account, meaning whenever I want to play chess here I have to go through Facebook. Is there a way to separate them? When I want to play chess on a public computer or on a computer, which is not mine I don't want to log in to facebook.

https://www.chess.com/settings/connected-accounts

Make sure you know your chess.com password before you disconnect Facebook.

Then you get the following message "

When you disconnect an account from this page, Chess.com will remove all data relating to that connection. However, you may still need to remove the connection on the other site.

I'm so stupid, I just found out you can still log in to chess.com even if your chess.com account is connected to facebook. Thank you for answering still