HMMT November 2019 T8

In $\triangle A B C$, the external angle bisector of $\angle B A C$ intersects line $B C$ at $D$. $E$ is a point on ray $\overrightarrow{A C}$ such that $\angle B D E=2 \angle A D B$. If $A B=10, A C=12$, and $C E=33$, compute $\frac{D B}{D E}$.