  We establish a Weyl-type subconvexity of $L(\tfrac{1}{2},f)$ for spherical
Hilbert newforms $f$ with level ideal $\mathfrak{N}^2$, in which $\mathfrak{N}$
is required to be cube-free, and at any prime ideal $\mathfrak{p}$ with
$\mathfrak{p}^2 \mid \mathfrak{N}$ the local representation generated by $f$ is
not supercuspidal. The proof exploits a distributional version of Motohashi's
formula over number fields developed by the first author, as well as Katz's
work on hypergeometric sums over finite fields in the language of $\ell$-adic
cohomology.
