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$\sum_{\mu(n)=1} \frac{1}{n^2} = \frac{A}{B\pi^C}$

Let $\mu(n)$ denote the möbius function, the sum is taken over all positive integers $n$ such that $\mu(n)=1$, with coprime positive integers $A$ and $B.$ Find $A+B+C$.

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