Have you tried the rocker switch just in front of the light?
I seem to remember that on some models it's a fast freeze switch, on other models I believes it operates the internal light so that it stays permanently on but at half power. Which wouldn't explain why the light didn't work at all, unless the switch was in a mid position maybe?
Is it an Edison screw build or bayonet type or something different all together. If it is the screw in one then probably either the rear terminal has lost it's spring & will need bending up slightly (ensure power is disconnected before trying this ) or the screw threads are contaminated & not contacting the bulb properly, you will need some contact cleaner for that. If it is another type of lamp you will need to establish if it is getting a supply
It will be at the bottom of the inside of the lamp holder that you screw the bulb into.You may need to grip it with a very fine point pair of tweezers or similar & pull it up gently. If you cannot see it perhaps it has snapped off.
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