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Yes. This is known as deterministic masking.
DataVeil masks can be configured to be deterministic or non-deterministic. This can be set on a global project level to apply to all masks and can also be overridden for individual masks. The default determinism setting is deterministic.
Yes. DataVeil automatically updates all dependent columns that have foreign keys defined.
All you need to do is create a mask on any one of the columns in a dependency relationship and DataVeil will inform you of all the other related columns that shall be automatically updated.