I manage to find the part that causes this squeal a few years ago on a 450 FE which made a dreadfull noise when the clutch was used in take off or normal riding.
To fix it try pulling the clutch hub out and remove the stepped washer part no 590.32.009.000
simply linish the wider back face that runs against the back of the inner hub 590.32.002.250
I used a coarse wet and dry on a flat surface.
It stopped the noise, if it only decreases the noise on the first attemp linish some more off it.
Be sure not to overtighten the clutch shaft nut it can add to the cause of the problem, also if you overtighten the clutch it can cause the clutch to drag when you select 1st gear another problem Berg owners have when you try to select neutral with the engine running.
Use the clutch lock tab washer for its purpose and dont rely on overtorqueing the nut, add some loctite as well if you want reassurance.
How we found this problem was by careful inspection of the wear pattern on the back of the stepped washer.
I did have had one KTM that generated a squeal from the pressure cap thrust bearing and washer and its the same as the Berg but this is not a problem often.
Give it a go you have nothing to lose, let me know what the result is.
ORANGEBERG