Larry Dighera wrote
According to the regulation posted by Bob More, the PIC must write a
report:

And I speak with first hand knowledge...I have written one of
those reports. :-(

Departed St Petersburg/Clearwater In'tl in an Air Florida L-188
Lockheed Electra destined for Miami. As we broke ground, the
number three engine fire warning sounded. The copilot and flight
engineer went through the engine shutdown procedure. There was
no evidence of a fire and the warnings ceased.

Now...in a previous life, I had spent most of my last tour in the
US Navy patrolling in the same basic airframe (Lockheed P-3B) at
200' or less with at least one and sometimes even two of its
engines feathered...no big deal!

So....we pressed-on to Miami, I submitted a report to the Director
of Operations (myself :-))and I hand carried it to the airline's
FAA PIO (Principal Operations Inspector) who after reading the
report, chuckled and asked if I missed the P-3 that much.

No Big Deal

Bob Moore
ATP B-707 B-727 L-188
Air Florida PIC, Chief Pilot, Director of Operations (1972-1973)