Any power cable that is 12 gauge is sufficient. Stiffness does not matter. The metal in the Romex that supplies your outlet is either 12 or 14 gauge solid copper in the USA.
A cable made of braided copper wire with a gauge that is equal to or thicker than your main’s cable is sufficient.
Depending on the equipment you are powering and it’s current draw …you might even be able to get away with 16 or 18 gauge.