3. The incircle $O$ of $\triangle A B C$ touches $B C$ at point $D$, with the inradius being $r$. If $A D=2 \sqrt{3}, D B=\sqrt{3}, \angle A>$ $60^{\circ}$, then the range of values for $r$ is $\qquad$.
3. $\left(0, \frac{-3+\sqrt{33}}{2}\right)$