Using a food processor pulse flour, oregano, salt, pepper and butter until butter is broken down and mixture is crumbly. Add cheeses and pulse 2-3 times to combine. In a small bowl whisk together egg, vinegar and 1 tbsp cold water. With the processor running add gradually until mixture pulls away from the edge. Add remaining 1 tbsp of cold water if necessary. Remove dough from processor and form into an approximate 1" thick disk. Wrap with plastic wrap and chill for at least an hour but can be made and chilled one day ahead. Allow to be at room temperature for 20 minutes prior to rolling.