Find the Undefined

Algebra Level 4

\[ \large{z=\sqrt{-4} \left( \log _2 (-4) +\arcsin { \left( -4 \right) } \right)} \]

If \(Re(z)\) can be expressed in the form \[ \ln { (A-B\sqrt { C } )-D\pi } \] Where \(A, B, C, D\) are natural numbers and C is not divisible by a perfect square, submit the value of \(A+B+C+D\) as your answer.

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