Beveled Surface @ Connection

I have these 3 inverted cones where they join together. I have isolated inner surfaces, and I’m having difficulties getting that beveled connection at the point where they all connect. I’ll simplify the dynamo file and will upload it shortly. Any suggestions will be highly appreciated.

Assuming you want to get the outside surfaces as a building envelope of sorts? Try using solids instead of surfaces, union them all into on solid, and then explode the result.