Cubefree sum

\[\large \sum _{n \text{ is cubefree}}\frac{1}{n^2}=\frac{A}{B\pi^C}\]

The equation above holds true for integers \(A,B\) and \(C\). If \(A\) and \(B\) are coprime positive integers, find \(A+B+C\).


Inspiration.

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