Let \( S \subset(0, \pi) \) denote the set of values of \( x \) satisfying the equation \[ 8^{1+...

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Let \( S \subset(0, \pi) \) denote the set of values of \( x \) satisfying the equation
\[
8^{1+|\cos x|+\cos ^{2} x+\left|\cos ^{3} x\right|+\ldots \text { to } \infty}=4^{3}
\]
Then, \( S= \)
(A) \( \{\pi / 3\} \)
(B) \( \{-\pi / 3,2 \pi / 3\} \)
(C) \( \{\pi / 3,-2 \pi / 3\} \)
(D) \( \{\pi / 3,2 \pi / 3\} \)
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