We have frequent though very brief power outages where I live. Is it possible to configure a Nuc so that it powers and boots after a power restoration?
That should be configurable in the BIOS. You can set the power state after a power outage to on, off or previous (i.e. the state at the time of the outage). I use “previous” for my machines, as I turn them off when on vacation.
Hit ”F2” when booting your NUC. There you can find the setting to have it auto boot after power failure. Do not use an Apple keyboard.