there is no unique definition of a running coupling extracted from a particular vertex in the non-perturbative regime. Here we define effective running couplings that explicitly take the decoupling due to the gluonic mass gap into account, illustrated exemplarily for the running coupling extracted from the quark-gluon vertex evaluated at the symmetric point, $$\begin{aligned}
\label{eq:alphasAqq}
\alpha_{\bar q Aq}(p^2) &= \frac{\left(z_{\bar q A
      q}^{(1)}(p,q)\right)^2 }{4\pi }\Bigg\vert_{p^2=q^2=(p+q)^2}\,.\end{aligned}$$ The running couplings from different vertices are shown in Fig. \[fig:running\_couplings\]. Irrespective of the definition, all running couplings coincide down to momenta of 4 GeV. This underlines the fact that STI violations are negligible, without the necessity to tune initial conditions as an implicit solution of the STI as described in App. \[app:mSTIinitial\]. Even more, the degeneracy of all running couplings at large momenta represents a highly nontrivial statement about the consistency of our truncation, in the sense that all important contributions in the semi-perturbative regime have been consistently taken into account. Note that the very good agreement of the quark-gluon and the ghost-gluon running coupling is in part a consequence of the full momentum dependence which is self-consistently taken into account in the quark gluon vertex. This suggests that a similar improvement in the 