In a large mixing bowl, cream the cream cheese until it achieves a soft texture. Add granulated sugar and flour, and ensure the mixture is thoroughly combined and smooth.
Incorporate sour cream, vanilla extract, mint extract, and salt. Mix at a low speed to combine.
In a separate container, lightly whisk the eggs. These should then be added to the cream cheese mixture. It is crucial to mix just until the eggs are incorporated to prevent the surface of the cheesecake from cracking. Finally, mix in the green food coloring and the finely chopped Andes mints.
Pour this cheesecake mixture over the cooled Oreo crust and bake for approximately 25-30 minutes. The center should retain a slight jiggle. Once baked, allow the cheesecake to cool to room temperature, then cover and refrigerate for a minimum of 4 hours, preferably overnight.