Welcome to DT!
(There are some TSB at the end of the post)
Did you check the ground that's part of the wiring harness? No ground and believe the whole three bulb module doesn't work.
I remember a thread from way back that said you had to do a "TIPM Reset" when a bulb burns out because it stores an error code in Body Module. He claim that the TIPM shuts down the circuit for protection and if the owner doesn't have clue, they have come into the 'stealership' for the rest to solve the problem. Use your reader to clear all the codes and the bulb should work. If you do not have a code reader, you can do a hard dump but I'm not sure if this will reset the TIPM. At least it's free doing it yourself and free far better than the stealership prices.
This is from an old DT thread:
You can do what is often called a "hard dump".
We (techs) often do this when we need to totally reset the ECU and either don't have the proper tool close by (too lazy to walk to toolbox and get it) or just are "in a hurry".
First, disconnect positive+ battery cable at the battery and ground it to the chassis. Yes, the POSITIVE CABLE.
Wait a few seconds, 30 won't kill ya.
Now reconnect the positive cable. Careful, no sparks now.
Get in the vehicle, turn ignition key to on (run) position, now depress fully and release the gas pedal 5 times to set the TPS to WOT. (Make sure the floor mats do not keep the pedal from going WFO)
Turn the key to off, wait a min, and you should have cleared everything in the ECU except for the factory programming.
The hard dump does not affect the (factory) alarm, the only thing I noticed is my radio presets, as this method came from a working Chrysler tech, I doubt if there are any negative effects.
Some of the diesel forums say the 2006 Ram is bad about this problem and they cliam the problem is the Multi Function Switch
but you have already replaced it.
There was also a factory recall for the TIPM but it has to do with the 4x4 Transfer Case...
Safety Recall E18
There is also a Technical Service Bulletins (TSB)... "TIPM Flash - Diagnostic Trouble Codes"...
I really hopes this helps and please post what you find...
If you start a thread, be responsible and post the final outcome.
2002 Ram 1500 SLT 4x4 QC ~ 02 Ram 45RFE to Jeep GC TCM 5-45RFE Upgrade - (Nov.01) 4.7L with 91K/3588hrs, 4.56 R&P/DTT, Sonnax Line Booster, SRT-10 Pod w/Dynojet Wideband Commander, 2-speed manual transfer-case, Clifford Security System w/Auto Start/Auto Windows, RB1 CD/DVD/NAV Infinity Sound System w/30GB iPod, Offroad Package, 33" Bridgestone Dueler A/T, Mopar Rear Wheel Liners, K&N w/Airaid Jr Modular Intake Tube, BBK 70mm Throttle Body, AIR_RAM Jet Stream Scoop, PML Diff Cover, ASP Underdrive Crank Pulley, MSD 1.65 Alt Pulley, V8 Lincoln E-Fan, 2-Speed DCC E-Fan Controller, 180 Jet T-Stat, Flowmaster SI/DO Exhaust, Tire-2-Tire Chrome Tuber Step, Line of Fire LED Light Bar, Sylvania Ultra Silverstars
Texas 1845: We the People of the Republic of Texas, acknowledging,
with gratitude, the grace and beneficence of God.