An algebra problem by Albert Go

Algebra Level 2

\[\log_4\left(\left(\frac {\log_4 \left(\frac {256}{64}\right)}{\sin 32^\circ \cos 13^\circ + \cos 32^\circ \sin 13^\circ}\right)^{2\log_2 4}\right) - 1\]

Simplify the expression above.

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