Finite product of powers of sine

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I've encountered the following finite product:

$\prod_{1\leq i<N} \left(\sin(\frac{\pi i}{N})\right)^i$

Do you know if it is known? I've looked at various trigonometric identities handbooks, and could not find this specific one. I could only find

$\prod_{1\leq i<N} \sin(\frac{\pi i}{N})=\frac{N}{2^{N-1}}$

which is also the one reported on Wikipedia.

Have a good day!