Diagnosis
That's the sound of the pan/tilt mechanism's plastic gears grinding, usually because something is physically interfering with its movement or it was assembled slightly out of alignment.
How to Fix It
Power the camera off immediately to prevent gear damage. Inspect the entire rotating base and the neck. Look for the tiniest obstruction—a hair, a dust bunny, or even the power cable looped too tightly around the base. Carefully remove anything you find. Power it back on and use the app to move it slowly through its full range. If the noise is gone, you're good.
If That Didn't Work
If the noise persists with a clear path, it's likely a defective gearbox. Since it's new, your best bet is to initiate a warranty replacement through Wyze. Document the noise with a video from your phone to share with support.
Heads Up
This isn't a normal 'motor whir' sound. A healthy pan motion is relatively quiet. Letting it grind will quickly wear down the gear teeth, leading to a permanently stuck or erratic camera.