I have a wall that separates my living room from my kitchen, with part of it cut down for a breakfast bar. On the living room side there will be shiplap. On the kitchen side of the same wall there will be a tile backsplash. Here's the problem, there is a 6" exposed end that butts up to the breakfast bar. How do I trim these two different materials around that end in a way that looks clean?

The pic below is NOT my kitchen, I just found this on Houzz, but it does represent what I am talking about. See how the wall with the artwork makes up the living room wall, the kitchen wall is on the other side, and then there is a 4" or so exposed section that butts up to the breakfast bar? If the wall had one material on the living room side (say, shiplap) and another material on the kitchen side (say, tile), what would you do with the exposed wall end? How would you trim this so that it looks cohesive and clean?

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