Extract intersect curve

Helo

im struggling with extract interscting curve which i will make a guide for re mesh.
below i attached file of grasshopper. and i hope yoou can help me to make mesh as picture i attached

thank you

lattice 8.1.gh (479.1 KB)

lattice 8.1 Edited V0.gh (791.8 KB)
Your mesh is broken.
I repaired it with Blender’s native addon 3D printing Toolbox.


thank yu once again mr @Quan_Li really appreciate