  We present a unique Yukawa structure of the Zee model that can accommodate
neutrino oscillation data, solves the muon ${g-2}$ problem, and explains the
recent $W$ boson mass measurement. Our Yukawa structure is minimal in the sense
that it contains the least possible number of parameters. In this minimal
scenario, neutrino masses are quasidegenerate and are compatible with both
normal and inverted orderings. The mixing angle $\theta_{23}$ is predicted to
lie in the second (first) octant for normal (inverted) ordering. In both cases,
the CP violating phase is close to 3$\pi/2$. The minimal texture also predicts
a large branching fraction of the heavy neutral Higgs boson into a pair of
electron and muon.
