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We report measurements related to hadronic $B$ decays to final states thatcontain charm mesons. The analyses are performed on a $62.8~\mathrm{fb}^{-1}$data set collected by the Belle II experiment at a center-of-mass energycorresponding to the mass of the $\Upsilon(4S)$ resonance. The measurementsreported are for the decay modes $B^-\to D^0 h^-$, $B^{-}\to D^{*0}h^-$,$\bar{B}^{0}\to D^{+} h^{-}$ and $\bar{B}^{0}\to D^{*+} h^{-}$, where $h=\pi$or $K$. These modes are either signal or control channels for measurementsrelated to the unitarity triangle angle $\gamma$ in direct or time-dependent$CP$-violation measurements. The reported observables are the ratios betweenthe $B\to D^{(*)}K$ and $B\to D^{(*)}\pi$ decay rates, which are found to be inagreement with previous measurements.

Study of $B\to D^{(*)}h$ decays using $62.8~\mathrm{fb}^{-1}$ of Belle II data