Can you be more specific? What happens when you try to open? Do you get any notice? Are you able to right click on icon and choose to open in Private?
Unless you chose to delete all files when you uninstalled, this wouldn’t do much of anything. It overall would keep your data.
Just to kind of check, could you follow instructions at Brave crashes immediately upon startup - #4 by Saoiray and see if anything changes?
Beyond that, also want to know, if you were to install Brave Beta or Brave Nightly, do you have any issues?
Oh, and which version of Windows are you using?