  The generation of a mass for an axion-like-particle is a long-standing open
issue. We propose a model where a GeV mass for this pseudo-scalar particle is
predicted in a large portion of the parameter space due to the presence of
explicit Peccei-Quinn symmetry-breaking terms in an exotic leptonic sector. The
latter provides a solution to the muon $g-2$ anomaly, within the framework of
the Linear Seesaw neutrino mechanism. The spectrum is extended by a complex
scalar singlet only transforming under the Peccei-Quinn symmetry, which
generates the axion-like-particle. Its couplings with fermions can continuously
span over many orders of magnitude, which constitutes a specific feature of
this model in contrast to generic ultraviolet constructions.
