Being on a U.S. military base would be considered “being on U.S. soil”, so, technically, any children borne of serving members are considered the same as “American born”. This applies for any U.S. military installation, or embassy.
Cuba would most definitely not have conferred citizenship upon American children who were born on the island. After all, Cuba did not gift the Gitmo land to the U.S., and weren’t at all happy about an armed, enemy power “squatting” in their country.
When my daughter served there some time ago, she said if she had left the base, there were Cuban military po