Hi Tolya, it looks like the problem is with these objects here:
If you hide just those by clicking the eye icon shown above, then you should be able to work normally after that.
Those particular objects have some messed up surfaces in them that have control points at huge coordinate values like x = 227170316442 .
It appears that the base undeformed objects already have this problem and then they go really crazy when they are additionally deformed.
- Michael
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