As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
INSPECTION TYPE:N/A FLIGHT LEVEL 370 .79 MACH AT CRUISE ENGINE 3 FLAMED OUT AND WITH IGNITION ON RESTARTED ALL INDICATIONS NORMAL. PERFORMED AMM 71-00-00-1 UP TO ENG RUN. SUBSEQUENT STEPS OF THE ENGINE FLAMEOUT TROUBLESHOOTING TREE ARE NOT REQUIRED DUE TO R/R OF ENGINE FEED LINE GAMMA COUPLINGS PACKINGS.