  A search for the doubly charmed baryon $\it{\Omega}_{cc}^{+}$ with the decay
mode $\it{\Omega}_{cc}^{+}\to\it{\Xi}_c^{+}K^{-}\pi^{+}$ is performed using
proton-proton collision data at a centre-of-mass energy of 13$\mathrm{\,Te\kern
-0.1em V}$ collected by the LHCb experiment from 2016 to 2018, corresponding to
an integrated luminosity of $5.4\,\mathrm{fb}^{-1}$. No significant signal is
observed within the invariant mass range of 3.6 to 4.0$\mathrm{\,Ge\kern -0.1em
V}/c^2$. Upper limits are set on the ratio $R$ of the production cross-section
times the total branching fraction of the
$\it{\Omega}_{cc}^{+}\to\it{\Xi}_c^{+}K^{-}\pi^{+}$ decay with respect to the
$\it{\Xi}_{cc}^{++}\to\it{\Lambda}_c^{+}K^{-}\pi^{+}\pi^{+}$ decay. Upper
limits at 95% credibility level for $R$ in the range $0.005$ to $0.11$ are
obtained for different hypotheses on the $\it{\Omega}_{cc}^{+}$ mass and
lifetime in the rapidity range from 2.0 to 4.5 and transverse momentum range
from 4 to 15$\mathrm{\,Ge\kern -0.1em V}/c$.
