Dr$.$ Durr has worked as a professor at Top$-$Notch University for the last $30$ years. She has never deferred any money into her $457($b$)$ plan. Dr$.$ Durr has maxed out her $403($b$)$ plan. She will attain normal retirement age under the $457($b$)$ plan in $2024.$ How much can Dr$.$ Durr contribute to her $457($b$)$ plan for $2024?$

Group of answer choices

$$46,000$

$$0$

$$30,500$

$$23,000$