The light behind the rightmost dial, controlling the airflow direction of my heating/cooling controls on my dash has gone out.

Called the dealer, and they say there are no serviceable parts or replacement bulbs there, and that I have to replace the entire unit for about $150 + about $100 in labor!

I figure this is an LED and shouldn't have burnt out so easily, and wonder if it may have just come loose. I don't want to spend over $100 for them to open up the dash, and figure I could take a look myself. Anyone else have this or a similar issue, or could point me to how I could get to the back of the heating/cooling control unit to see if there is something that just came loose?

(Another point to note, is that for about a month, the light would flicker on and off when going over bumps...hence the reason why I think it may have come loose)