Help: Luke III trem arm rattle

I’m aware of the small allen screw that adjusts the swing tension of the arm but tightening the arm here still has that rattle. I tried searching for similar topics but the ones I found seemed to be more about the swing tensioning rather than arm rattle in the barrel.

Any suggestions on how to try and dampen it?

PS I also have a Luke II BFR (is it a I or II? Well anyway it has the vintage trem and EMGs) and it’s trem is just fine … zero rattle