Ken,
If you pull the "false" floor under the bed it will give you access to the wires and hydraulic cylinder. I think you will find a 12VDC wire that that feeds the wall lights. You can tap into the 12VDC line there and put the cigarette socket on the side of the bed frame up close to the outside wall.
As Camper4 commented you want to make sure the amperage draw is less than the fuse rating and know what other items are on that fuse.
Good luck. Sorry for the second post.
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