No health insurer, including a group health plan, as defined in Section 607(1) of the Employee Retirement Income Security Act of 1974 or health maintenance organization as defined in Section 38-33-20, may deny enrollment of a child under the health plan of the child's parent on the grounds that the child:
(1) was born out of wedlock;
(2) is not claimed as a dependent on the parent's federal tax return; or
(3) does not reside with the parent or in the insurer's service area.