I see the new Order notification, which signals that I've completed [i]an[/i] Order, but I can only find out which order by going into my menu and seeing what's missing. "Oh, the Grenade Order is gone, so I guess I completed it!"
It would be nice to know, automatically, which order I completed so that I know which weapon to swap out; going to the Portal screen to check which Order is missing adds a layer of friction that the system doesn't need.
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You can check the active orders from Nav mode, but they do seem to fit your current loadout more often than not. It would be nice if they stopped giving Orders for Banes, Boons, and activities while working on story missions though.