Sam has worked for the Cit Of Jackson for the last $20$ years She has deferred $$22\mathrm{.}500$ into her $457($b$)$ plan for $2023.$ He will attain her normal retirement age under the city's $457($b$)$ plan in $2023.$ Sam has prior unused deferral amount of $45,000$ as of December $31,2023$ how much can Sam contribute aS he three$-$year catch$-$up contribution in $2023$