14. As shown in question (14), chords $\mathrm { AB }$ and $\mathrm { CD }$ of circle $O$ intersect at point $E$. A tangent line to circle $O$ is drawn through point $A$ and intersects the extension of $DC$ at point $P$. If $P A = 6 , A E = 9 , P C = 3 , C E : E D = 2 : 1$, then $B E = $ $\_\_\_\_$ .\\
\includegraphics[max width=\textwidth, alt={}, center]{349b1ba4-8fb6-44cd-b25a-4a036dec5803-2_295_344_2307_264}