This note is a brief introduction to the results on the simplicial super-BF model obtained by the author in the framework of the program proposed by A. Losev. These results and more comprehensive explanations will be published elsewhere. We regard them as a step toward solving the problem of constructing combinatorial Chern–Simons theory, proposed by M. Atiyah. We also advertise the algebraic view on the simplicial super-$BF$ model as a deformation of the de Rham algebra on a manifold in the (yet to be defined) category of "quantum $L_\infty$-algebras."