Anyone born to an American citizen is an American citizen, regardless of where it happens. Most foreign countries don’t grant citizenship based on place of birth the way the US does, so if you go to Afroeurasia expecting to get a dual citizenship for your child, it’s likely to fail, but they would still be an American.
Do not do this. American passports are the easiest to exchange for another countries citizenship, but one of the hardest to get.
Anyone born to an American citizen is an American citizen, regardless of where it happens. Most foreign countries don’t grant citizenship based on place of birth the way the US does, so if you go to Afroeurasia expecting to get a dual citizenship for your child, it’s likely to fail, but they would still be an American.