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We present preliminary results achieved within a recently started projectdealing with QCD thermodynamics in the presence of a fully dynamical secondquark family. We are employing the Wilson twisted mass discretization. Toreduce the amount of zero temperature simulations and the cost of analysis wehave chosen the fixed-scale approach. We show a variety of basic thermodynamicobservables for temperatures ranging from 158 to 633 MeV. Simulations wereperformed for three lattice spacings below 0.1 fm each and at a single value ofthe pion mass which allows a comparison with previously obtained $N_f=2$results. We determine the chiral crossover temperature from the bare chiralsusceptibility and show results for the gauge part of the trace anomaly.

Towards thermodynamics with $N_f=2+1+1$ twisted mass quarks