Special election wont be finally finished till maybe mid April, 2025.
A vacancy in the Senate also requires a special election, but the 17th amendment, to the Constitution allows a state governor to make temporary appointments until the vacancy is filled by a special election.
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When vacancies happen in the representation of any State in the Senate, the executive authority of such State shall issue writs of election to fill such vacancies: Provided, That the legislature of any State may empower the executive thereof to make temporary appointments until the people fill the vacancies by election as the legislature may direct.

Special Election To Replace Matt Gaetz In Congress Set For April Fools’ Day : NorthEscambia.com
Local online newspaper for North Escambia County Florida, Pensacola, Walnut Hill, Bratt, McDavid, Molino, Century, Cantonment, Atmore, Flomaton, News
www.northescambia.com
A vacancy in the Senate also requires a special election, but the 17th amendment, to the Constitution allows a state governor to make temporary appointments until the vacancy is filled by a special election.
*************************************************
When vacancies happen in the representation of any State in the Senate, the executive authority of such State shall issue writs of election to fill such vacancies: Provided, That the legislature of any State may empower the executive thereof to make temporary appointments until the people fill the vacancies by election as the legislature may direct.