Help with AC Identification? What is it?

I don't know if there is any difference in "factory installed" or "dealer installed". Your under dash unit loos like it is a "Chrysler Airtemp" unit and the compressor and lines are all Mopar.
The 65' ac units I've seen were under dash units. In 66 they incorporated the controls in the dash with the heater controls and had the vents along the bottom of the dash. May be some 67 and newer owners can tell us when the ac vents went into the dash. tmm

Factory 67 to 69 A-Bodies still had a single center vent hung under the dash. Controls for factory AC is in the dash and controls the plenum.