Spectral sequence from Lee skein lasagna to Khovanov skein lasagna modules

Develop a spectral sequence from the Lee skein lasagna module S^Lee(X;L) to the Khovanov skein lasagna module S^2_0(X;L), generalizing the classical spectral sequence from Khovanov homology to Lee homology.

Background

Classically, Khovanov homology admits a spectral sequence to Lee homology. An analogous spectral sequence at the skein lasagna level would provide powerful computational tools and structural insight. The authors obtain a rank inequality for 2-handlebodies but note the absence of a spectral sequence in general.