By Lemma 6.3, a general immersed Lagrangian can be decomposed into a union of Lagrangians $L_{i}$ such that the ranges of the potentials $f_{L_{i}}$ are connected, and any bounding cochain structure naturally produces a twisted complex. The oscillation of each $L_{i}$ is bounded in terms of the quantitative almost calibration condition, and the ambient features of $X$. Morever, the number of Lagrangian components is also a priori bounded. ∎