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Dark matter (DM) particles may arise as dark pions from the confinement of dark quarks in a strongly interacting dark sector. Their relic abundance is determined by number-changing processes within the dark sector. However, this so-called SIMP mechanism faces prohibitive constraints from bounds on DM self-interactions. In this talk I will show that taking dark vector mesons into account in the freeze-out process resolves this issue and predicts visible signals at accelerator experiments. In particular, I will discuss dark showers arising from dark quark production at beam-dump experiments, such as SHiP.