The flames in the castle's central part

In the castle's central part, just past where the lift arrives, a strip of flames burns along the floor.
Nudge 1Where to look
Something thick and woven to cover them with.
Nudge 2A stronger push
A sleepy friend in the village owns just the thing.
What you needOther problems to solve first
Solve these first (each opens its own page, no answers on the way):
Show the solutionThe whole answer, with a video
Drop the thick Persian rug (from Dozy: Dozy won't wake up) on the flames: they go out under it, and Dizzy walks across.