Dear Ms. Lovett,
Thanks for posting your request on History Hub!
For records relating to births after 1938 of American citizens in a foreign country, please contact the Department of State, Passport Services, Vital Records Section, Room 510, 1111 19th Street NW, Washington, DC 20036 or consult their web site at https://travel.state.gov/travel/aztopics/aztopics_4187.html.
We hope this is helpful. Best of luck with your research!