As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
NR 3 ENGINE FIRE WARNING CAME ON DURING CLIMB, A & B LOOPS READ 7 TO 10 UNITS, THAN STABILIZED TO 4 UNITS SCALE WHEN THROTTLE MOVED TO IDLE. FOUND NR 3 ENGINE HIGH-STAGE BLEED VALVE LEAK. REMOVED AND REPLACED NR 3 ENGINE HIGH STAGE BLEED VALVE AS PER MM 36-11-03. NO LEAKS.