For real numbers $\mathbf{a}$, $\mathbf{b}$ and $\mathbf{c}$
$$\begin{aligned}
& |a + b + c| = a + b \\
& |(a + b) \cdot c| = 8 \\
& |a - b - 8| = 0
\end{aligned}$$
Given that this holds, what is the product $\mathbf{a} \cdot \mathbf{b} \cdot \mathbf{c}$?
A) 48
B) 50
C) 52
D) 56
E) 60