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We investigate the $s$-wave three-body system of two neutrons and oneflavored meson with total spin-isospin $J=0,I=3/2$. The meson-neutronscattering length can become infinitely large in an unphysical region of thequark mass when extrapolated from strangeness to charm in the so-called zerocoupling limit. Using a low-energy cluster effective field theory, wedemonstrate that the Efimov effect is manifest in the three-body system whenthe meson-neutron scattering length is extrapolated to the unitary limit of thetwo-body interaction. We thereby discuss the consequence of universal physicsin the physical $K^{-}nn$ and $D^{0}nn$ systems.

Universal physics of the few-body system of two neutrons and one flavored meson