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We present measurements of branching fractions and charge asymmetries for seven $B$-meson decays with an $\ensuremath{\eta}$, ${\ensuremath{\eta}}^{\ensuremath{'}}$, or $\ensuremath{\omega}$ meson in the final state. The data sample corresponds to $89\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ pairs produced from ${e}^{+}{e}^{\ensuremath{-}}$ annihilation at the $\ensuremath{\Upsilon}(4S)$ resonance. We measure the following branching fractions in units of ${10}^{\ensuremath{-}6}$: …