Overlapping graphics within one layer

[AndrewAE]

Hello!
The map has a FeatureLayer with graphics from an array of client-side features, I expect fairly standard behavior: when you click on a graphic object, it appears at the top and overlaps all other graphic objects that are also located on this layer.
Unfortunately, this behavior is not expected by default settings; perhaps there are some tools to control the overlay within one layer?

By analogy with layers, I tried to change the order of graphic objects in the array, but this did not give results. 
I also tried setting the orderBy field to the layer and changing the required field for the graphic object when selected

[BlakeTerhune]

Could you make another GraphicsLayer for display? When a graphic in the "base" layer is clicked, you add it to the "display" layer (above the base). Then remove it from the "display" layer when something else is clicked.