(Blocking together connected components based on potential clustering) Assume $L$ is the finite union of transversely intersecting immersed Lagrangians, with a bounding cochain $b$. Then $L$ can be decomposed as a twisted complex built from some $L_{1},\ldots L_{N}$, such that $\inf_{L_{i}}f_{L_{i}}>\sup_{L_{j}}f_{L_{j}}$ whenever $i>j$, and the Lagrangian potential $f_{L_{i}}$ has connected range for each $L_{i}$ .