“Mom has to be a US citizen when Ted is born. Her BC doesn’t prove that.”
Wrong, As a legal document required to get either a FS-240 or US passport it satisfies that requirement.
“Also, mom and dad had to be married. Also, mom had to be a US resident for a minimum period of time before Ted was born.”
Wrong,
“Frequently Asked Questions about US Citizenship
Q: I am an unmarried mother. I am a US citizen. Does my child born abroad have a claim to US citizenship?
A: Yes, if you’ve lived for at least one ENTIRE UNINTERRUPTED year in the USA (at any time before the birth of the child).
https://americansabroad.org/issues/citizenship/citizenship-requirements-faqs/"
Cruz’s mother was born and lived in Delaware until her mid 20’s, so she meets all those requirements
Note too, even though it invokes the wrong statute, the question asserts the conclusion, "I am a US citizen."
By your logic, a person born in the US cannot renounce their citizenship. All a BC does is show the place of your birth, and that of your parents. It can;t speak to what you have done subsequent to that, and we are all free to renounce our US citizenship if we choose.
I'm not saying she did, but her BC doesn't even speak to that issue.
Also, her BC doesn't show that she lived in Delaware until her mid 20's. How could it? Yet you claim her BC proves that. Flaky logic.