Extend cosmohedra to capture kinematic-flow decorated tubings and subpolygon growth

Develop an extension of the cosmohedron framework that incorporates the additional decorations and growth structures appearing in kinematic-flow differential equations for integrated cosmological wavefunctions and amplitudes, including two-coloring of internal chords and associated combinatorics.

Background

Recent work on kinematic flow shows that integrated correlators satisfy differential equations with interpretations in terms of growth of graph tubings and subpolygons, equipped with extra decorations (e.g., colorings reflecting sign choices of energies).

The present cosmohedron captures undecorated combinatorics of tubings; extending it to include these decorations would align the geometry with differential-equation structures and integrated observables.