I don't know if it is that simple.
The side mirrors, no matter which ones, regular or Tow , heated or non heated, comes with its own wiring Harness.
That wiring harness plugs into the Door Module
The Door Modules wiring harness, which is likely called a wiring pigtail, passes through the door, then into the trucks cab.
I believe that in the Cab, where you would rest your Left Foot, that Kick panel hides an Electrical Connector, i think the wires there, pass through trucks Firewall.
So IF my assumptions are correct, you would need to find a Wiring Diagram, that explains just what wires are by your Left Foot, behind that Kick Panel
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I am assuming ...
That your Ram is a Ram 1500 5th Generation
You may discover for yourself IF it has HEATED Mirrors
Using Capital Letters, enter your VIN into this site
It should have a long list of how it was built, before it was dropped off at the dealership
fcagroup.my.site.com
Check your Tow Mirrors part numbers
double check for yourself
The part numbers for factory option black 2019-2021
manual fold, power adjust, and HEAT are: 68381772AD and
68381773AD