  We prove that the moduli space of double covers ramified at two points
$\mathcal{R}_{g,2}$ is of general type for $g\geq 16$. Furthermore, we consider
the Prym-Weierstrass divisor $\overline{\mathcal{PW}}_g$ in the universal curve
$\overline{\mathcal{CR}}_g$ over the moduli space of Prym curves
$\overline{\mathcal{R}}_g$ and we compute its class in
$\mathrm{Pic}_\mathbb{Q}(\overline{\mathcal{CR}}_g)$. The pushforward to
$\overline{\mathcal{M}}_{g,1}$ of this class was not previously known to be in
the effective cone.
