The wire should be marked with its size and ratings. To me it looks like 18 or 20 gauge. Which is more than adequate for the 1 A current limit for the USB port.
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James & Tricia
2020 Eagle 321RSTS
2006 F250 CC SB Lariat FX4
Dealerproofed by Powerstroke Specialties
Air Lift Loadlifter 5000 Airbags | Blue Ox Super Ride hitch