My colleague @Nielsen discovered this. One could add this in a script that get's executed after installation of BBEdit.
defaults write <userHome>/Library/Preferences/com.barebones.bbedit.plist 'BBEditSerialNumber:11.0' 'SiteLicense'
defaults write <userHome>/Library/Preferences/com.barebones.bbedit.plist 'BBEditRegisteredOwner:11.0' Owner
sudo defaults write /Library/Preferences/com.barebones.bbedit.plist 'BBEditSerialNumber:11.0’ 'SiteLicense'
sudo defaults write /Library/Preferences/com.barebones.bbedit.plist 'BBEditRegisteredOwner:11.0' Owner
