whine from engine when cold

I just purchased a brand new 2015 SR5 quad cab V6 Auto and love it. But the 3rd day I had it I started it up and had to run back in the house quickly for something. Came back out within 40 seconds and at idle it almost sounds like a PS pump whine as low on fluid. Fluids all great and it will make this whine until it runs for about 5+ minutes. I figured let me drive it a bit to see if it was break-in related but with 2000 miles on the clock it still does it. Any ideas on this one before I take it in to Toyota?? When I turn the sterring wheel there is no change in pitch. So its either the clutch fan, and idler pulley bearing or maybe it is the PS pump. Thoughts?

 

air injection pump?

 

cold belt + stiff grease in pulley bearings perhaps?