"If you shut it down with no apparent damage you could attempt a restart."
This sort of advice/practice from trainers worries me.
The only turbofan to quit silently and discreetly with me in 26 years of operating them, did so in the descent, accompanied by the "normal" annunciators indicating lo oil press, hyd & elec services etc.
Approach continued and 'frame given to the engineers for investigation, push off home non the wiser.
It failed because the HP fuel feed to the burner gallery was punctured by a chafing clip and we were lucky it chose to do so spraying fuel onto a relatively cool engine body. Had it occurred in the climb or cruise it probably would have been an engine fire.
Modern turbofans don't normally quit for trivial reasons, and the current training practice of encouraging crews to do a relight in the sim is, IMHO, is of dubious value. If the flame has died due to rain/hail ingestion or silly AoAs during unusual manoeuvring, then maybe a case can be made for a relight, but any donk which quits quietly of its own accord could be as sick as ours was and relighting MAY present a greater hazard.