...you would see that green arrow blinking rapidly.

Same deal here. Suffice it to say, this lamp isn’t the problem.
Bingo! It’s this one.
Before unscrewing the lamp housing, I find it easier to check for power underneath here first.
Oh hai there

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Off with the lamp housing.
Hmm, got power going into the lamp housing...
*Wiggles the bulb a bit* Huh! just a loose connection!

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So I popped the bulb out anyway, cleaned the old grease out, and put it back in with fresh grease. Good as new-ish!

That was easy.