It's a product? Not a sum?

Calculus Level 4

\[ \large \displaystyle \lim_{n \to \infty} \prod_{r=3}^{n} \dfrac{r^3 - 2^3}{r^3 + 2^3} \]

If the above limit can be expressed in the form \(\dfrac{a}{b}\) where \(a\) and \(b\) are coprime positive integers, find the value of \(a+b\).

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