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In these proceedings we present preliminary results for the masses of theproton, neutron and $\Omega^-$ baryons obtained from QCD+QED latticesimulations performed with four dynamical quarks using C$^*$ boundaryconditions. These results are part of the ongoing effort of the RC${}^*$collaboration discussed in the companion proceedings, and have been obtained ona single ensemble in which the renormalised electromagnetic coupling is$\alpha_{\text{em}}\sim 0.04$, the physical volume is $L\sim 1.7$ fm and themasses of the four dynamical quarks have been tuned at the $U$--spin symmetricpoint $m_d=m_s$. We demonstrate on this unphysical ensemble that baryon massescan be calculated with satisfactory precision when including QED without theneed for gauge--fixing and perturbation theory. This makes us confident in theeffectiveness of the strategy presented here also in the case of simulationscloser to the physical point.

Baryon masses from full QCD+QED${}_\text{C}$ simulations