Intel Driver & Support assistant requested multiple updates to drivers and one of the updates was for the BIOS. the system start updating and after finish the update for the BIOS and firmware, showed message "shutting down". Since that every time I press the power button it blinks once and shut down again.
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The exact same thing has happened to me with a NUC (NUC8i7INH) that was purchased two days ago. Downloaded BIOS 0037 and applied it. After that, the machine wouldn't turn on; just a short blink of both LEDs and the machine would go back off. No recovery procedure helps (including the security jumper method). The unit has been replaced.
By the way, the very same thing has been documented by other people, for example here:
Perhaps it would be beneficial to pull this BIOS release until further investigation could be made.
Moreover, this is not the only issue with a recent NUC BIOS release. BIOS 0079 for NUC8i7BEH would not install (documented in these forums as well, by many people), and was eventually pulled. Being the owner of a NUC8i7BEH machine too, I, too, have experienced this.