BriTray is self-uninstalled when the last Brindys Software application is uninstalled, or if you try to install it manually and no Brindys Software application is installed.
To uninstall BriTray, first uninstall all Brindys Software applications. Go to Windows Control Panel, use the Add/Remove Programs control panel option, and select all the applications which name begins with Brindys. Once all of them have been uninstalled, Britray will ask for permission to uninstall.
Anyway, the following button forces a BriTray uninstallation. After clicking it, BriTray will be uninstalled or the remaining applications will instruct you to uninstall them first.
Brindys Software products documentation