O' boy, thanks for the video. It sounds like the new alternator is defective and needs to be replaced again. To be sure I would remove the serpentine belt and rotate the pulleys individually. You should be able to feel the rumbling in one of them, try the alternator first.
Here is how the belt is removed:
https://www.2carpros.com/articles/replace-serpentine-belt
Check out the images (below). Please let us know what happens.
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Thursday, April 27th, 2023 AT 2:00 PM