[Cletus.D.Yokel]

Why is there extradition then?

[Publius]

First off, there would have to be a finding by a court that the gag order violates the 1st Amendment. No such finding by a court exists. Until that happens, courts are free to issue gag orders as they wish, and those orders are enforceable across state lines.

Trump may be in Georgia, but if he violates that New York gag order, it is incumbent upon the state of Georgia that the gag order be enforced to the point of Georgia authorities arresting Trump and holding him for extradition to New York should that state demand it, which it will.