When configuring the Near Me widget in Web AppBuilder there is a search setting to "Return intersecting polygon(s) - Return polygon(s) containing the searched location rather than polygons within the buffer".
Disappointingly, there does not appear to be a way to configure the Near Me widget to do this in ArcGIS Experience Builder.
Previous Web AppBuilder workflows of ours use this function so this is hampering our move to ArcGIS Experience Builder.
It would be good to have this functionality added as an 'Analysis Type' (or perhaps an option for the 'Proximity' and/or 'Closest Feature' analysis type(s)) when you 'Configure analysis for layers' within the Near Me widget in ArcGIS Experience Builder.