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. Select Start → Settings → Apps → Apps & features (in older versions, Control Panel → Programs → Programs and features. In even older versions use the Add/Remove Programs control panel option). Select each application which name begins with Brindys. Select More → Uninstall. Once all of them have been uninstalled, Britray will ask for permission to uninstall.
Brindys Software products documentation