What about moving the site out of the default path (C:\Users\{user-name}\Local Sites) and placing the site in another folder? This file path can be set during site creation. A global default for new sites can be set in Local’s Preferences.
Here are some steps to help address port conflicts if another app for example is getting in the way:
Stop all sites that are running in Local
Force quit Local
(If using Mac) Run the command lsof -nP -iTCP -sTCP:LISTEN
(If using Windows) Run the command netstat -ano
What you’ll be looking for here is to see when sites are stopped and Local is properly shut down if there are still programs running on ports 80 and 443. These may be conflicting with Local or the system may be reporting Local is still running.
Once you run that command you should see a list of listening ports. If you see a particular program making use of those ports, you can then kill that process by running sudo kill -9 XXX where XXX is the PID number of that process. (On Windows you will use taskkill /F /pid XXX where XXX is the PID number of that process)