Sec. 3. A department may appoint deputies and other employees at its pleasure, unless a statute provides otherwise. A department may dismiss deputies and other employees, but if thirty (30) days have passed since the department head was appointed, the department head must file with the city clerk a written statement of the reasons for dismissing any employee other than:
(1) a deputy; or
(2) a foreman, inspector, or laborer temporarily employed by the department of public works.