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We establish a Gromov compactness theorem for strip shrinking inpseudoholomorphic quilts when composition of Lagrangian correspondences isimmersed. In particular, we show that figure eight bubbling occurs in thelimit, argue that this is a codimension-$0$ effect, and predict its algebraicconsequences -- geometric composition extends to a curved $A_\infty$-bifunctor,in particular the associated Floer complexes are isomorphic after a figureeight correction of the bounding cochain. An appendix with Felix Schm\"{a}schkeprovides examples of nontrivial figure eight bubbles.

Gromov compactness for squiggly strip shrinking in pseudoholomorphic quilts