Just for a little cosmetic work, I removed all of the centre console from mine today and it exposed the gear stick mounting (the bits in your video) and it reminded me of your problem.
Did you try what I suggested....and did it work??
Actually, having everything right in front of me, the fix I suggested should last a lot longer than 'a temporary' solution.
Estimated cost...excluding your time...should be around a quid, give or take a penny or two.