You will get here after the task "Embassy". These lands are beyond the Wasteland Light. If Light of the Wasteland and Grinding of the Mountain are two different settlements, then the Desolate Lands is more or less a huge location with different places. So there will be more quests here.
The quest will start automatically after you complete the "Shadow from the Past" side mission in Wasteland Light.
While traveling through the Desert Lands, communicate with different characters (marked with green markers), and one of them will receive this task.
The action game also received a content update.