>This shows that photons cause pressure.<

No, it doesn't. If you put it in a vacuum, it won't turn. It turns
because the black side heats the ambient air more than the white side,
which causes the molecules of gas on that side to hit the vanes harder
than the white side. This causes the vane to turn-sort of a macroscopic
variation of Brownian movement.
Note: I am not saying whether light has mass or not, just that the vanes
don't turn because of pressure from photons.

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