Suppose in \(\Delta ABC\) with sides \(a,b,c\), the following equation holds true.

\[\dfrac{\cos A}{a} + k_1= \dfrac{\cos B}{b} +k_2 = \dfrac{\cos C}{c}+k_3 = \dfrac{a^2+b^2+c^2}{8}\]

If \(abc=4\) , evaluate \(k_1k_2k_3\).

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