  Searches for electron antineutrino, muon neutrino, and muon antineutrino
disappearance driven by sterile neutrino mixing have been carried out by the
Daya Bay and MINOS+ collaborations. This Letter presents the combined results
of these searches, along with exclusion results from the Bugey-3 reactor
experiment, framed in a minimally extended four-neutrino scenario.
Significantly improved constraints on the $\theta_{\mu e}$ mixing angle are
derived that constitute the most stringent limits to date over five orders of
magnitude in the sterile mass-squared splitting $\Delta m^2_{41}$, excluding
the 90% C.L. sterile-neutrino parameter space allowed by the LSND and MiniBooNE
observations at 90% CL$_s$ for $\Delta m^2_{41}<5\,$eV$^2$.Furthermore, the
LSND and MiniBooNE 99% C.L. allowed regions are excluded at 99% CL$_s$ for
$\Delta m^2_{41}$ $<$ 1.2 eV$^2$.
