I can factor it?

Geometry Level 3

\[\large \cos^2( x) + \cos^2( 2x) + \cos^2 (3x) - 1 = a \prod_{k=1}^b \cos( kx) \]

If the equation is true for all values of \(x\) with constants \(a,b\) ,what is the value of \(2a+b\)?

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