The fass relay should only use the factory wiring to signal the pull side. There would be no tie between the two. Im guessing it happens whem you hookup the fass hot wire thats on the battery?

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my 02 dodge has the same problem with the running lights, the bulb next to the turn signal(not the headlight). when started in the cold it'll flick on then off then on again... and continue till warm...? I just figured it was shitty dodge wiring

 

You know looking back no one mentioned door switches. I'm sure you've checked them just thought I better throw that out there.

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Right before I started having this problem, the D/S door switch was acting up so I replaced it. I can tell its working properly because the door chime goes away with the door closed and the over head lights dimmed when the door was shut

 

Just wanted to update that I just found my problem since my truck is down for the count right now. I pulled the overhead console off and disconnected the plug and there must have been a short in there because now the center light works properly. Looks like I'm buying a new console :/ cant believe I overlooked that but I'm glad I finally found the problem!