Ok, thank you for your voices there.
We will definitely remove the bearing (I do not have a neither circlip nor groove for it on the right axleshaft, so we can refit it in a civilised way) and examine it for turning - if this is the case, we will go the punch exercise. We will also make sure that the nut is properly tightened.
I went through several posts on this play in the right bearing and it looks like quite common issue. The solutions were: nut tightened, punch exercise and... this shim as described "between the outer bearing race and the wheel tube". And this shim solution was said to come from Mercedes manual.
Truth is also that someone provided the specs for this bearing that said the lateral play on barrels is 0,7mm.
Ok, thank you again! I will try the new bearing, ensure fit in the housing and on the axle with punch and Loctite and proper tightening of nut. We will see where it takes us.
Regards,
Pawel