Urgent Suggestion required.pls

I recently received a counter offer from one of the big 4 company.. I had initially decided not to join. I am reconsidering my decision and would appreciate your advice on the potential consequences. Specifically, I am concerned about the risk of being blacklisted or facing negative if I choose not to join the company even after accepting their counter offer. Is there a possibility of affecting my future opportunities with the same company? Do they black list for rejecting their counter offer?