The new Motorcraft 5w30 is a group III oil that will stay in grade. It will say semi-synthetic or synthetic blend on the front label. Don't use the old "super premium" oil.
If you can't find MC, any GF4 oil should stay in grade. Read the back of the label.
AutoRX keeps recommending "cheap" dino oil for the rinse phase. I suspect they want something with group I in it. Group I basestocks are good at cleaning. In another 500 miles, I'll start my AutoRX rinse. I intend to used 4 quarts of SuperTech 5w30 and 1 quart of ST 10w40. That should give me a heavy 30 weight, that will shear to a light 30 weight. The cold flow properties shouldn't be compromised much by the 1 quart of 40 weight.