  We obtain closed expressions for weighted orthogonal polynomials and optimal
approximants associated with the function $f(z)=1-\frac{1}{\sqrt{2}}(z_1+z_2)$
and a scale of Hilbert function spaces in the unit $2$-ball having reproducing
kernel $(1-\langle z,w\rangle)^{-\gamma}$, $\gamma>0$. Our arguments are
elementary but do not rely on reduction to the one-dimensional case.
