  The PT-symmetry breaking, consistent hamiltonian interactions in all $n\geq
4$ spacetime dimensions that can be added to an abelian BF model involving a
set of scalar fields, two sorts of one-forms, and a system of two-forms are
obtained by means of the hamiltonian deformation procedure based on local BRST
cohomology. This paper enhances one of our previous works, where only
PT-invariant deformations were considered. The associated coupled theory is an
interacting, topological BF model exhibiting an open gauge algebra and on-shell
reducibility relations.
