Past county peace officer service shall be converted to local sheriff service if all of the following apply to the past service:
(a) It was rendered in a position that has subsequently been reclassified as a local sheriff position according to the provisions of Section 20432, 20432.5, or 20432.6.
(b) It was rendered by a current employee of the same agency for which the county peace officer service was performed.
(c) It is credited to an employee who has other local sheriff service credit for service performed with the agency.