Question Help, 2D shader graph to dissolve the edges of a tilemap.

First time asking for help, please help!

I've looked around all day, and can't find a way to make shader grapth that desolves the EDGES only of a 2D tilemap. (Or any sprite for that matter) There are plenty of tutorials on dissolving the whole sprite, but those aren't relevant for this All I want are the edges to be affected, hopefully in a pixel perfect manner.)
I've posted an image of the result I want, I hope someone knows which Nodes I can use to get the desired result. (Keep in mind that this is for a tilemap, and the form of the map will change in all kinds of ways)

Thank you