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Recently, Poole & Thomsen have presented the Renormalization Group Equations(RGEs) in the $\overline{\mathrm{MS}}$ scheme for dimensionless parameters of ageneral renormalizable gauge theory in a new formalism based on the LocalRenormalization Group. In this Letter, we apply the dummy field method to theexpressions in this formalism in order to derive the RGEs for the dimensionfulcouplings which so far have been missing in this approach. The complete set ofRGEs 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 anygeneral renormalizable (non-supersymmetric) gauge theory.

General RGEs for dimensionful couplings in the $\overline{\mathrm{MS}}$ scheme