Final answer:
The false statement about the Georgia executive branch is that the Governor is limited to 2 terms in their lifetime, as they can actually seek re-election for an unlimited number of terms.
Step-by-step explanation:
Among the statements about the Georgia executive branch, the one that is false is that the Governor is limited to 2 terms in their lifetime. In Georgia, the governor is elected for a term of four years and is eligible to seek re-election for an unlimited number of terms. The other provided options are true: The governor can exercise a line-item veto, must serve a 4 year term, governor candidates must be at least 30 years old, and they must have been a US citizen for at least 15 years.