  The proximity of the Peccei-Quinn scale to the scale of supersymmetry
breaking in models of pure gravity mediation hints at a common dynamical origin
of these two scales. To demonstrate how to make such a connection manifest, we
embed the Peccei-Quinn mechanism into the vector-like model of dynamical
supersymmetry breaking a la IYIT. Here, we rely on the anomaly-free discrete
Z4R symmetry required in models of pure gravity mediation to solve the mu
problem to protect the Peccei-Quinn symmetry from the dangerous effect of
higher-dimensional operators. This results in a rich phenomenology featuring a
QCD axion with a decay constant of O(10^10) GeV and mixed WIMP/axion dark
matter. In addition, exactly five pairs of extra 5 and 5* matter multiplets,
directly coupled to the supersymmetry breaking sector and with masses close to
the gravitino mass, m3/2 ~ 100 TeV, are needed to cancel the Z4R anomalies.
