Consider the following three statements:

$(A)$: If $3 + 3 = 7$ then $4 + 3 = 8$.

$(B)$: If $5 + 3 = 8$ then earth is flat.

$(C)$: If both $(A)$ and $(B)$ are true then $5 + 6 = 17$.

Then, which of the following statements is correct?