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Heightmaps blend/stitch

Hey ho! Here I have 2 heightmaps. And I want the left one smoothy transition into the right one.

heightmap-HKgKTByH.png

In photoshop, I can blend them using masks, or fill->content aware and stuff like this to make border seamless, but that does not take height into account i.e. inside game, if we have white pixel on the left, and black on the right, I want that mountain smoothly transition into the plane, not instantly. So that in-game going from mountain to plain will look like smooth hill.

How can I approach this? Is there any kind of plugin/technique capable of doing this properly?
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