Tucking module origami

@ Daniel Piker
Hi, I would like to ask about a joining mesh problem.
There are 2 overlapping meshes, and I want to join them with only one edge.

I am doing a project on origami

I generate a tucking module origami with fully folded form
However, I want to unfold it.(like the picture below)

How can I join only with one specific edge between 2 overlapping mesh faces?? (like the picture below)
Can it be achieve in grasshoper??

tucking module test.3dm (41.6 KB)