That’s not the exhaust as the car was in normal mode to capture the rattle more clearly. But it does make the same noises in normal/sport exhaust valve modes.
If it's the trans to engine plate you should be able to recognize the sound coming from the firewall area, not further up front.
My 17 had that plate replaced, I got good information from this site. The new plate took care of my rattle/vibration noise.
If you are having trouble telling the approximate location of the noise see if one of your friends can help during a ride.
I drove my car and let the Ford tech know when I heard the noise. Also showed him the post from this site that I thought was related to my cars noise. This does require a good service department that will work with you.
Best if luck.