Mine sounds the exact same but only when I'm taking care of business in the backseat!
All seriousness aside, there are a few classic Super Duty culprits that dealerships almost always miss because they just throw a torque wrench on the bolts and call it a day.
Here is what I'd check next to isolate it:
1. The Tailgate Striker Pins / Latches (Easiest Test)
Rocking the bed side to side can reveal that the noise is actually coming from the tailgate.
The latches rubbing on the upper pins can make a sharp squeaking or popping sound.
How to test: Drop your tailgate so it's open, and push on the side of the bed to rock the truck exactly like you did in the video. If the noise completely disappears, you've found the issue.
The fix: Spray the pins and the latches with lubricant or grease to quiet them down.
2. Leaf Spring Isolator Pads (Most Common)
The dealership checked your u-bolt torque, but the noise is often the leaf springs themselves.
Dirt, grit, and road debris entering the spring pack, or dry factory contact pads, will cause a popping or clunking sound as the suspension flexes.
How to test/fix: Jack the rear of the truck up so the axle droops and the leaf springs are almost maxed out.
Clear out any debris and apply grease or spray lubricant to the rubber pads between the first and second leaf.
3. Defective OEM Tremor Shocks
Even with low miles, the factory Tremor shocks are notorious for making a clunking or knocking sound when they fail.
The dealership checked the mounting bolt torque, but the shock itself can be the culprit.
How to test: Have someone rock the truck just like you did in the video while you crawl underneath and firmly grab the rear shock bodies. If it's a bad shock, you will often feel the "pop" vibrating right through the metal cylinder.
4. Dry Leaf Spring Bushings
Sometimes the leaf spring or shackle bushings can be dry and cause a thunk or pop.
The fix: Lube up the bushings; many owners have had this instantly cure their rear-end popping noises.
Try dropping that tailgate first since it only takes a few seconds, but my money is on either the tailgate pins or the leaf spring pads needing a quick clean and lube.
Good luck and keep us posted on what you find!