I agree with Paul.
All the work in the addition will have to meet the code for new construction per the FBC - EB:
1001.1 Scope. An addition to a building or structure shall comply with the Florida Building Code as adopted for new construction without requiring the existing building or structure to comply with any requirements of those codes or of these provisions, except as required by this chapter. Where an addition impacts the existing building or structure, that portion shall comply with this code.
1001.2 Creation or extension of nonconformity. An addition shall not create or extend any nonconformity in the existing building to which the addition is being made with regard to accessibility, structural strength, fire safety, means of egress, or the capacity of mechanical, plumbing, or electrical systems.
I do not see anything in the code that would prohibit an existing branch-circuit to be utilized or extended to a new work area, however that branch-circuit would then need to be put into compliance. In this case, AFCI protection would have to be added.
Otherwise, a new AFCI protected circuit would be required per 210.12 NEC.