This happened to my new M2 MacBook Pro Max also. It's more than likely the bottom thin aluminum cover not being secured tightly enough to the unibody chassis at the factory. When you move the MBP they way you did in the video, you exert force at the corners which will cause the bottom cover to move slightly against the body of the MBP causing the sound.
I fixed my clicking noise by using a pentalobe screwdriver I got off eBay to take out all 8 screws and reinstalling them. Note that the bottom 4 and top 4 screws are DIFFERENT lengths. I actually "mixed" the 4 screws at the bottom and the 4 at the top so they ended up in a different hole from where each came out of. Also, I tightened each screw slightly tighter without stripping the head.
It helps to put in each screw like you would a lug nut on a car's wheel by placing it in diagonally across from each other instead of into the hole next to it. In other words, put in the bottom right one first, then the upper left one, then bottom left, upper right, etc.
I found that the factory screws came out rather easily meaning that they were barely torqued into the aluminum chassis to spec. I have opened up all my MBPs over the years and know how much "feels" about right. Good luck!