"General liability" means any liability for bodily injury, death, or damage to property owned by others or any other liability, except motor vehicle liability, to which a board of education or school system may be subject either directly or by reason of liability [...]

"General liability" means liability for bodily injury, death, or damage to property owned by others to which a municipality or county may be subject either directly or by reason of liability arising out of an act, error, or omission of its employee, agent, or officer [...]