Sum them all up for the second time!

Calculus Level 5

$\large \sum _{ x=1 }^{ \infty }{ \dfrac { \psi ( x ) }{ { x }^{ 2 } } } =\zeta ( A ) -\dfrac { \gamma { \pi }^{ B } }{ C }$

If the equation above holds true for integers $$A,B$$ and $$C$$, find $$A+B+C$$.

Notation: $$\psi(\cdot)$$ denotes the Digamma function.

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