Yep, its a 37. $1.83 at O'Reilly. And I had to use pliers too but I got it out!

 

I didn't know my 94 had any such thing until I took the door apart on a donor car to remove the outside door handle. Me: "Huh, where's this pair of wires go? Wow, look at that, there's a little light bulb positioned above the window and lock switches!"
When I got home and took my car's door panel off I found the bulb socket and wiring hanging down between the door panel and the door shell. The bulb was blown and black inside. The bulb I had pulled from the junkyard car was still good so I installed it and put the socket back in its hole.
Having the switches illuminated is a nice touch.
Now I'm hearing that there's one on the passenger side too? Wow, unbelievable. What a Cadillac touch; not something I'd expected to find on a Camaro.