So, with the driver side puddle light fixture unplugged, and you got an indication that +12v is on the red pin of the harness, that means you did not blow the DOME fuse. I’m guessing that the pink wire got shorted to the red wire when you plugged in the LED bulb. The pink wire goes to the main body ECU, which controls the application of GND to that wire to turn on and off the light. (I’m looking at the 2010 wiring diagram).
So it looks like +12v got applied to that ECU output. Hopefully it didn’t damage that ECU circuit.
One technique is to try to reset the ECU by disconnecting the battery for several hours, then reconnecting it.
One of the forum’s electrical gurus,
@
rigtec
, has access to more recent schematics and has trouble shot electrical gremlins for others before, and resetting the ECU. He could probably verify this. Maybe he’ll respond to this, or send him a PM.
Either way, let us know the results. Good luck.