The term “arrange” is employed with remarkable versatility in literature, spanning from the organization of social events and personal affairs to the meticulous ordering of physical objects and abstract ideas. Authors use it to depict the orchestration of meetings or matches, hinting at negotiation and careful planning, as seen when a match is to be set up or a retreat is to be prepared [1, 2]. It also conveys the physical act of setting things in order—whether it is positioning furniture in a room [3, 4] or even aligning numbers in puzzles [5, 6, 7]—and extends to the symbolic arrangement of interpersonal relations and formal unions [8, 9]. Beyond these, “arrange” serves in instructive contexts, from culinary directives, where ingredients are laid out and served [10, 11, 12], to the formulation of abstract, hierarchical orders within logical discourse [13, 14].