My 2008 Prius just started making this noise. It appears after driving when I park it. It started after a rainstorm. It has 155,000 miles. Video is a little quiet so turn up.
That looks like the camera is pointing to the floor of the driver's seat inside the car. Open the hood and take the recording from the engine bay. Try to locate where the noise is loudest. I'd venture to guess it comes from the middle left (as you sit in the driver's seat).