Dash lights blink with left turn signal

You've got 2 separate problems.
Dash illumination wires are orange.
The green wire is turn. The reason it shows hot when the headlight switch is pulled to the park lamp position is a lack of ground at that front grill mounted fixture.
I can imagine how this could make the unknowing scratch head until blood flows.
The more common scenario is a post stating one or both turn indicators come on with park lamps. Anyway... Go find and correct the fixtures grounds to radiator support.