Trump cannot hold any public office in Florida where he is a resident.

From the Florida Constitution..

No person convicted of a felony, or adjudicated in this or any other state to be mentally incompetent, shall be qualified to vote or hold office until restoration of civil rights or removal of disability. Except as provided in subsection (b) of this section, any disqualification from voting arising from a felony conviction shall terminate and voting rights shall be restored upon completion of all terms of sentence including parole or probation.

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