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Well, nav2d is a package for 2D navigation, and stairs are a very 3D-type of thing! ;)
However, the costmap_2d (which is used by the Operator) can use 3D readings and include them in the local map. You may have a look at the documentation there. With this the Operator could treat downstairs as obstacles and avoid them, but they will still not be represented in the global map.