Simplify the expression $$4 \sqrt[3]{2} \left( 4 \sqrt[3]{4} + 4 \sqrt[3]{7} \right)$$ and express your answer in the simplest radical form $A+ B \sqrt[3]{C},$ where $A,$ $B,$ and $C$ are integers.

Answer: $A =$ , $B =$ , and $C =$

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