Added my own video:
It happens both hot and cold.Does it happen when the engine is hot and cold?
How many miles on the engine?
What viscosity engine oil are you using?
Can you tell from what area the noise is coming front? Front, rear, under, etc.
As a 1st step, I recommend to remove the serpentine belt and then start the engine to see if the noise changes.
Also remove the plastic engine cover to see if it helps in narrowing down the noise.