Let $a$, $b$, and $c$ be non-zero real numbers such that
$\begin{cases}
\begin{aligned}
a^2+a&=b^2 \\b^2+b&=c^2 \\c^2+c&=a^2.
\end{aligned}
\end{cases}$
Find the value of $(a-b)(b-c)(c-a)$.

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