[yuriko]

IIRC this is a criminal case, so the appeal does not go to the High Court. The first appellant court is Court of Appeal (Criminal Division).

[gamblor956]

This is not a criminal case, so the appeal would not go to the criminal division.

It's an extradition hearing. It goes to the High Court.

https://www.gov.uk/guidance/extradition-processes-and-review