I understand your frustration, and I appreciate your patience! Let's clarify the concepts to resolve any confusion.
Protoporphyrin is indeed a prosthetic group, which means it is tightly and permanently attached to a protein, aiding in its function. However, it is not classified as a coenzyme. Coenzymes are typically organic molecules that are loosely bound to enzymes and assist in catalyzing reactions.
So, while both prosthetic groups and coenzymes play important roles in enzyme function, they are distinct categories. Prosthetic groups are tightly bound, while coenzymes (like cosubstrates) can dissociate after the reaction.
If you have more questions or need further clarification, feel free to ask!