The rated current or current setting of the protective device (In) must not be less than the design current (Ib) of the circuit, and the rated current or current setting of the protective device (In) must not exceed the lowest of the current carrying capacities Iz) of any of the conductors of the circuit.I fundamentally disagree. It's about an existing cable, not an existing circuit, and it's all about designing.
Ib = 6.5A
In = 30A
Iz = 47A (accepting flameport's reasoning).
So why must In be reduced, Goldberg?