If i were doing the same thing to my own Ram ...
I would go to a plumbing place, like Home Depot
I would buy one of these
View attachment 530006
It would have to be the size of the heater hoses, that go through the firewall.
About 6" to a Foot away from the firewall,
i would cut those heater hoses.
the two hoses that are closest to the water pump, i would slip a couple of Water Hose Clamps over the 2 hose ends, the slip the hoses over the piece in the image & clamp them in place.
May sound strange, but that will keep the radiator goop out of the Heater core that is located under the dashboard.
After you flush the radiator & you are happy with it.
Then you can remove the U shaped copper piece.
Then replace the curved piece with two 4" pieces of straight copper.
Then connect the hoses into the sections of pipe, using clamps.
That way the water is flowing as it was before you started.
and you have not contaminated the HVAC System