  We continue the study, begun in [Kouno-Naito-Orr-Sagaki, 2021], of inverse
Chevalley formulas for the equivariant $K$-group of semi-infinite flag
manifolds. Using the language of alcove paths, we reformulate and extend our
combinatorial inverse Chevalley formula to arbitrary weights in all
simply-laced types (conjecturally also for $E_8$).
