Consider the represented planes:

\(\alpha\): \({ b }^{ 2 }x+y+z=bx\)

\(\beta\): \(2x+y=-2-z\)

\(\gamma\): \(x+b(y+z)=0\)

\( b \in \mathbb{R} \) \(\diagdown\){0}

\(\cdot\) \(\alpha \) and \(\beta\) are strictly parallel.

\(\cdot\) \(\gamma\) intersects \(\alpha \) and \(\beta\), but it isn't perpendicular to them.

What is the value of \(b\)?

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