Here's the main idea for your new charge cable:
https://www.wildhorses4x4.com/product/Battery_Charge_Cable_AMG_fused/Bronco_Starters
For generally a short run between the alternator and starter relay, this size cable is a bit of overkill. But if the bean-counters at Ford said that overkill is worth the extra cost, then most of us think it's a good idea to follow.
On the longer runs of cable in vans and pickups, Ford actually uses the larger 4ga cable, but for these shorter runs, 6ga is more than sufficient.
Just make sure to keep the connections clean and tight.
A standard 3G rated at a conservative 130a is generally capable of 140a or even more sometimes. Standard rebuilds often test out at up to 150a output.
Hence the need for larger wire.
Plenty of 3G/4G install threads around here to give you the full rundown on the steps needed to make a safe and clean install. Mostly about what to do with the old wires.
Remember that the old Black w/yellow charge wire is directly connected to the battery, so just disconnecting it from the alternator does NOT render it safe to just leave hanging around.
You either need to re-purpose it for other duties, or safely cap it off so it can never touch anything.
Paul