2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150958A sort of two dimensional linear auxiliary problem for the complex of 3D $R$ -- operators associated with the Zamolodchikov -- Bazhanov -- Baxter statistical model is proposed. This problem resembles the problem of the local Yang -- Baxter equation but does not coincide with it. The formulation of the auxiliary problem admits a notion of a ``fusion'', and usual local Yang -- Baxter equation appears among other results of this ``fusion''.14 pages, LaTeX. The references are defined more preciselyExactly Solvable and Integrable Systemstext