Dunno if this might work but if you have a camera which can overlay the video clock and burn it into the footage then just set the clock to midnight and run the camera with the lens cap on. Needs the camera to be able to overlay the time in seconds as well as hours and minutes though....

You'll get a clock/counter down in the corner on a black video. Capture that and chroma key the black out.

Just thinking out loud so flame away if it's not practical.

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