  Using large-scale quantum Monte Carlo simulations we show that a spin-$1/2$
XXZ model on a two-dimensional anisotropic Kagome lattice exhibits a tripartite
entangled plaquette state that preserves all of the Hamiltonian symmetries. It
is connected via phase boundaries to a ferromagnet and a valence-bond solid
that break U(1) and lattice translation symmetries, respectively. We study the
phase diagram of the model in detail, in particular the transitions to the
tripartite entangled plaquette state, which are consistent with conventional
order-disorder transitions. Our results can be interpreted as a description of
the charge sector dynamics of a Hubbard model applied to the description of the
spin liquid candidate ${\mathrm{LiZn}}_{2}{\mathrm{Mo}}_{3}{\mathrm{O}}_{8}$,
as well as a model of strongly correlated bosonic atoms loaded onto highly
tunable {\it trimerized} optical Kagome lattices.
