  We derive a manifestly superconformal expression for the leading-order
two-point functions of all single trace chiral primary operators in 4d
$\mathcal{N}=4$ super-Yang-Mills theory with a co-dimension one Nahm pole
defect. Notably, our result involves only a finite number of superblocks that
correspond to 1/2-BPS representations in the defect channel. The derivation
builds on a non-trivial exact result for traces of fuzzy spherical harmonics in
combination with powers of $\mathfrak{su}(2)$ generators, which leads to a
remarkably compact expression for the bulk-to-defect couplings. Apart from
being interesting in its own right as a closed-form expression at finite $N$,
the final result is an essential prerequisite for applying the defect
superconformal bootstrap programme to this model.
