To notify a worker that they have a new assignment?
This FAQ outlines the notifications available with Workforce:
FAQs for project owners—Workforce for ArcGIS | ArcGIS
While Workforce does take advantage of Push Notifications, so that a Worker would be notified when the app is closed; we are looking at adding that ability in an upcoming release.
If you're looking for a different alert or behavior, please let me know.
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