On the petition of an authorized applicant, as defined in section 45a-743, the Probate Court or the Superior Court that finalized an adoption or appointed a guardian ad litem in accordance with section 45a-753 shall issue an order directing the registrar of vital statistics of the municipality of an adopted person’s birth to issue an uncertified copy of an original birth certificate to the authorized applicant in accordance with subsection (b) of section 7-53, provided the person named in the certificate of birth is deceased and (1) each birth parent named on the original birth certificate (A) consents to the release of identifying information, in accordance with sections 45a-751 to 45a-751b, inclusive, or (B) is deceased, or (2) a legal representative or guardian ad litem consents to the release of identifying information on behalf of the birth parent, in accordance with section 45a-753.