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The first approach is the 'assign' activity, and the second is the 'record' element which is performed as part of the 'interaction' activity. This makes assignment, which should be a simple concept, much more complex than it ought to be. In the interest of simplicity this should be unified into single concept. Proposal would be to simplify the interaction activity to make the assignment of information explicit as subsequent activities.
the group is happy with both assign and record activities (record a special case of assign).