I agree with @Mwfan1921 that the citizenship of a child born of parents on A(2) visas is a complicated topic.
“Children born in the United States to accredited foreign diplomatic officers do not acquire citizenship under the 14thAmendment since they are not “born . . . subject to the jurisdiction of the United States.” DHS regulations, however, have long allowed these children to choose to be considered lawful permanent residents (LPRs) from the time of birth.”
but
“Not all foreign nationals admitted to the United States as an A or G nonimmigrant have full diplomatic immunity and appear on the Blue List.”
See https://www.uscis.gov/policy-manual/volume-7-part-o-chapter-3