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Observation of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn><mml:mo stretchy="false">(</mml:mo><mml:mo>+</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msubsup><mml:msup><mml:mrow><mml:mi>π</mml…
By analyzing an ${e}^{+}{e}^{\ensuremath{-}}$ annihilation data sample with an integrated luminosity of $2.93\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ taken at the center-of-mass energy of 3.773 GeV with the BESIII detector, we determine the absolute branching fractions of the hadronic decays ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}\ensuremath{\omega}$, ${D}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{0}\ensuremath{\omega}$, and ${D}^{+}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}\ensuremath{\omega}$ to be $(3.392\ifmmode\pm\else\textpm\fi{}0.04{4}_{\mathrm{stat}}\ifmmode\pm\else\textpm\fi{}0.08{5}_{\mathrm{syst}})%$, $(0.848\ifmmode\pm\else\textpm\fi{}0.04{6}_{\mathrm{stat}}\ifmmode\pm\else\textpm\fi{}0.03{1}_{\mathrm{syst}})%$, and $(0.707\ifmmode\pm\else\textpm\fi{}0.04{1}_{\mathrm{stat}}\ifmmode\pm\else\textpm\fi{}0.02{9}_{\mathrm{syst}})%$, respectively. The accuracy …