As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
AIRCRAFT EN ROUTE FROM ELP TO MCI CLIMBING THROUGH FL420 TO FL450 RT ENGINE FLAMED OUT. DESCENT TO FL250, PERFORMED RESTART AND CLIMBED BACK TO FL410, COMPLETED TRIP NO FURTHER INCIDENT. PILOT INSPECTED FOR FOD OR OTHER DAMAGE AT MCI, NONE FOUND. C/W FLAME-OUT INSPECTION AND PERFORMANCE RUN AT ADS. NO DISCREPANCIES AT THIS TIME.