1970 Dodge Dart Passenger Side turn signal

Hello everybody, I have a question about a front turn signal (passenger side) that is semi functioning. It will work when I signal right and flash when I turn the on the hazards, all with the headlight switch off but when the headlights are on it will not signal right and will only dimly flash when i turn on the hazards. The flashers are new and the electrical wiring as far as I know is all original to the car. I've tried cleaning the socket and replacing the bulb. Before I start throwing new parts at it and trying other things I just want to get input and try to figure out what the problem is and possible solutions.

thanks