Hi Melany,
As Ryan mentioned in his post, one method to support these types of route shapes in ArcMap is to create a gap where the self-intersection point is. Another method is to take one of the parts of the self intersection and model it with a different routeID (so no one route has this complex shape any longer).
Note that these shape types are fully supported in Roads and Highways in ArcGIS Pro.
Nathan
ArcGIS Roads and Highways team