Battery driven device for completeting a low voltage circuit?

Right. Here are some threads where is explained how to install and configure the FSI:

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:+1:t3:

Right. I guess this is the easiest way and no electrician is needed.
But please be aware that the FSI will also be disconnected from the power supply and will no longer work as a Z-Wave repeater.
When the power is turned on again, via the Smart Plug, it should happen that it takes some time until the FSI is controllable again. If the Z-Wave mesh is generally bad, the FSI may not be able to reconnect at all.

The FSI does not give the status of the garage door (open/closed) by default. The FSI only acts as a pushbutton. If you want to know if the garage door is open or closed, then you have to connect 2 additional contact sensors (reed contacts) to the FSI. But this should also be described in the linked threads.

For the flows I can recommend the IcalCalender app.
Example: If the last person has left the house and there is no craftsman event in the calendar, then switch off the Smart Plug.
With this app, you can also switch on the Smart Plug 15 (or 30, or whatever) minutes before the craftsman event, for example. Etc, etc…