  We explore ultradilute Bose-Bose liquid droplets squeezed by an external
harmonic potential in one spatial direction. Our theoretical study is based on
a functional that is built using quantum Monte Carlo results of the bulk phase
and incorporates finite-range effects. A characteristic feature of these drops
is the existence of a critical atom number, that is the minimum number of
particles to have a many-body bound state. We report results on the critical
atom numbers for different magnetic fields and applying confinement strengths
towards a quasi-two-dimensional setup. In the regime where the local density
approximation is expected to be valid, we find that the critical atom number
decreases linearly with the harmonic oscillator length of the confining
potential. With the largest squeezing explored in our work, we predict stable
drops at the level of one thousand atoms. Our functional reduces the critical
numbers for any confinement and applied magnetic field with respect to the
estimations based on the Lee-Huang-Yang model. We observe saturated drops when
the number of atoms in the drop is much larger than the critical value, their
central density being higher for the quantum Monte Carlo functional than for
the Lee-Huang-Yang one.
