I would strongly dispute their interpretation of "lamp",
Your lamp (commonly called a light bulb) has not failed, a component of your head light has failed. If they don't know the technical difference, this is their problem.
"In technical usage, a replaceable component that produces light from electricity is called a lamp.
Lamps are commonly called light bulbs; for example, the incandescent light bulb.[3] Lamps usually have a base made of ceramic, metal, glass or plastic, which secures the lamp in the socket of a light fixture."
https://en.wikipedia.org/wiki/Electric_light