$$
\text { If the set }\left\{\operatorname{Re}\left(\frac{z-\bar{z}+z \bar{z}}{2-3 z+5 \bar{z}}\right): z \in \mathbb{C}, \operatorname{Re}(z)=3\right\} \text { is equal to the interval }(\alpha, \beta] \text {, then } 24(\beta-\alpha) \text { is equal to }
$$
