I implemented another action for LaunchBar. This one works with the super useful app Lungo: https://sindresorhus.com/lungo. Lungo is a modern alternative to the outdated caffeine app.
This action enables you to interact with Lungo straight from LaunchBar. You can toggle Lungo and even activate it for a given period of time. Download here: https://github.com/Rahlir/LungoLaunchbar