Client brokering without broker authority?

Le'ts see;
A is your client
B is a client customer
C. is a broker.

B - has manufactured/acquired a product;
A - who buys the product from B agreed that it would cover shipping costs in the amount of 2500 USD
A - does not have neither carriers authority nor broker's authority, yet it assigns the task to a broker C and pays 1000
C - does what they it's paid for,

My Conclusion: No. A is not brokering.
Explanation: The final assignment/arrangement with a carrier (You) is made by C who has the authority, not A; The shipping costs can be delegated from B to A; and A can decide how to manage the 2500 USD

But you know, I am not a lawyer;
my my truck is under repairs right now,
its raining outside and I am typing this BS out of boredom.
Ha ha ha!