Except as otherwise provided in this section, a person shall be licensed by the Administration as a child care institution before the person may operate an institution for the care, custody, or control of a minor child. This section does not apply: to an institution or facility that is operated by an agency of this State or any political subdivision of this State; to a child care home that has a license under this subtitle or under § 9–235 of the Human Services Article; or to an institution that accepts only children placed by the Maryland Department of Health or the Department of Juvenile Services.