The following statements are correct about the reaction catalyzed by the pyruvate dehydrogenase complex EXCEPT:

A) it is the link between glycolysis and the TCA cycle
B) The activity of the complex is regulated by the phosphorylation of E_PDH.
C) NAD⁺ is the direct oxidant of reduced lipoamide.
D) An FAD is covalently linked to the E_DLD, the lipoamide dehydrogenase component.
E) Although E_PDH is called "pyruvate dehydrogenase" it is not a dehydrogenase.