Looks like the drive side is just a bit crooked from when you loosened it up & then retightened? And/or a bit too loose. Plus maybe the belt got worn & is not engaging fully like it should, compounded by not being exactly square, which is important.
Looking at the video again, is there a key on the shaft on the driven side, that could be where it's slipping.
(I do see a keyway on the driven shaft. Something to check.)
The 6 bolts you loosen to slide the engine back are in a 'channel' so there's no way to move it left/right only front/back. (pic below)
The reason I don't suspect belt wear is because it worked fine before it slipped the chain.
Not sure I follow what you are saying about a 'key on the shaft'? Thanks.