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Is there a way to merge 2 non- overlapping DTM's without using any form of interpolation?

I would like the surface to run straight from one edge to the other without QGIS/GDAL attempting to interpolate the shape of the surface between them

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If possible I would like the created surface to be like the Green line from the profile tool where it just bridges across the last 2 known points, rather than trying to interpolate the slope between the 2 areas of no data. I am not looking for the hump to appear, just a straight edge between the 2 parts of the surface

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