I looked into this, but you will need to do some testing yourself with a voltage meter. If you don't have one, I highly suggest getting one. It doesn't have to be anything special, and it will serve you well for your truck and house. Here's a couple:
Klein DVOM Home Depot Fluke 101 DVOM Amazon
Because of the complexity of the adaptive front lighting system (AFLS in the attachments), I think the safest thing to do would be to use a dvom (NOT A TEST LIGHT) and check the white/violet wire coming from the sun sensor on the center dash speaker grille and see if it outputs 12v to the HVAC module then sends a signal over CanBus to tell the BCM to turn on the headlights. You can see that module on the left-hand side of the 7th page in the diagram I attached above, and the diagram is labeled "Fig.7 Headlights Circuit Premium". Again, use a multimeter for safety because I don't know what's being output by the sun sensor. Additionally, you will probably need to use some type of relay for your LED module, as the system will probably sense the sudden high current draw. (but maybe not)
Edit: If all of that seems like too much, check to see if the instrument cluster lights come on anytime the truck is on and the headlamp multifunction switch is in auto. If the cluster lights stay off until that happens, you could use that to power your interior lights. You will most likely need a relay depending on how your LED module is designed.
If that is still too much, do an add-a-fuse on fuse 33, with is switched power to the cigarette lighter.