Putting a light in the 12V Fridge

I picked up a 3 LED light today from Bunnings. Sort of an impulse buy, but couldn't resist at $9.95 including the 3 AA (I think) batteries that power it. Osram brand with a 3M self adhesive back which is supposed to let you relocate the light.

I was thinking of putting it inside the 12V fridge, stuck to the inside of the door. I figure the cold is probably OK. After all, I'm sure they use battery torches in Canada and Siberia in the winter. It is probably a bit humid in the fridge, but not sure. Don't know if that means anything.

I can't think of a reason it won't work. Can you? It's only $10 anyway, so the cost of failure is pretty low.

Norm C