Thought the same thing the minute I read the headline.
This could be cured by requiring an SSN when giving birth in medical facility. No SSN, then country of origin is determined and reference to their consulate is made. The child does not receive a birth certificate, but is given sufficient information for their consulate to create one for their country of origin.
This is to conform with the laws of Mexico, who determines that children born of its citizens, regardless of location in the world, are Mexican citizens. We obviously don’t want to ‘trigger’ them. /s