  Recently, Poole & Thomsen have presented the Renormalization Group Equations
(RGEs) in the $\overline{\mathrm{MS}}$ scheme for dimensionless parameters of a
general renormalizable gauge theory in a new formalism based on the Local
Renormalization Group. In this Letter, we apply the dummy field method to the
expressions in this formalism in order to derive the RGEs for the dimensionful
couplings which so far have been missing in this approach. The complete set of
RGEs has been implemented in a new version of the public code PyR@TE
(arXiv:2007.12700) dedicated to the automatic computation of the RGEs for any
general renormalizable (non-supersymmetric) gauge theory.
