Let the set of all a \in R such that the equation \cos 2 x+a \sin x=2 a-7 has a solution be [p, q] and r=\tan 9^{\circ}-\tan 27^{\circ}-\frac{1}{\cot 63^{\circ}}+\tan 81^{\circ}, then pqr is equal to [27-Jan-2024 Shift 1]

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