  For $f$ a primitive holomorphic cusp form of even weight $k \geq 4$, level
$N$, and $\chi$ a Dirichlet character mod $Q$ with $(Q,N)=1$, we establish a
new hybrid subconvexity bound for $L(1/2 + it, f_\chi)$, which improves upon
all known hybrid bounds. This is done via amplification and taking advantage of
a shifted convolution sum of two variables defined and analyzed in a recent
paper of Hoffstein and Hulse.
