I believe (based on trying it in the past) that putting a label on the exercise enclosing the tasks doesn't move the exercise into the manifest, since the exercise itself doesn't contain graded components.
The one difference between this and a WeBWorK exercise group is that for an exercise group, you need the introduction to know what to do in each question, but the questions themselves are independent.
For an exercise structured with tasks, you might need to know what part (a) says in order to do part (b).
Maybe we still want to allow teachers to assign some (but not all) tasks in an exercise, but they might want to be aware of the potential for lost context if they do.
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I think Chrissy's suggestion of a warning would save a lot of confusion for students.
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