  We study the skein relation that governs the HOMFLYPT invariant of links
colored by one-column Young diagrams. Our main result is a categorification of
this colored skein relation. This takes the form of a homotopy equivalence
between two one-sided twisted complexes constructed from Rickard complexes of
singular Soergel bimodules associated to braided webs. Along the way, we prove
a conjecture of Beliakova--Habiro relating the colored 2-strand full twist
complex with the categorical ribbon element for quantum $\mathfrak{sl}_2$.
