We report a measurement of the mass of the top quark in $\mathrm{\text{lepton}}+\mathrm{\text{jets}}$ final states of $p\overline{p}\ensuremath{\rightarrow}t\overline{t}$ data corresponding to $2.6\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of integrated luminosity collected by the D0 experiment at the Fermilab Tevatron Collider. A matrix-element method is developed that combines an in situ jet energy calibration with our standard jet energy scale derived from studies of $\ensuremath{\gamma}+\mathrm{\text{jet}}$ and dijet events. We then implement a flavor-dependent jet-response correction through a novel approach. This method is used to measure a top-quark mass of ${m}_{t}=176.01\ifmmode\pm\else\textpm\fi{}1.64\text{ }\text{ }\mathrm{GeV}$. Combining this result with our previous result obtained on an independent data set, we measure a top-quark mass of ${m}_{t}=174.94\ifmmode\pm\else\textpm\fi{}1.49\text{ }\text{ }\mathrm{GeV}$ for a total integrated luminosity of $3.6\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$.