“Now the immigration records from when Ted was brought to the to the US would prove if his mother was still a US citizen and registered him as such- but as I understand they immigration records and those of his mother are also sealed”
You understand incorrectly.
There are no sealed records involving Ted Cruz.
However, what records do you have from when you were 4 years old, 42 years ago — before computers were in common use?
If you can produce your report card from kindergarten 42 years ago, then we can talk.
If my parents took me across the U.S. border to or from another country there would be records
My kindergarten school records are still available from my school district
My college records are available as to whether I was a U.S. citizen or not and his my tuition was paid by loan or scholarship
If I borrowed a million dollars from Goldman Sachs they would have checked my records
My social security records are available
My mother’s records are available
Don’t play this one
Once a lawsuit requires Ted to show actual records we can talk