Change out the switch to a double.
Then run a wiring along the inside of the cabinet (assuming there is a wall cabinet next to the door) to the proposed location of the light. Just have to drill through the wall to get the wiring to the light.
Can also fish a line from an existing light fixture to the proposed light location. The roof supports are metal and either 16 or 24" OC.
Loosen the screws that attach the ceiling to the roof supports helps.
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