Preheat the oven to 400°F. Line a rimmed baking sheet with parchment paper.In a bowl, mix together the flour, baking powder, and salt. Cut the butter into the flour mixture until it resembles coarse meal with a few pea-sized pieces of butter remaining. Combine with the sliced green onions and 1/2 cup shredded cheese.In a small bowl, whisk together 1 1/2 tablespoons of the beaten egg and cream/milk until well blended. Pour the egg mixture into the dry ingredients and mix until everything comes together. The dough will be quite sticky.Turn the dough onto a lightly floured work surface and lightly pat the dough to 1 inch thickness. Using a 1 1/2 or 2 inch biscuit cutter, cut out as many scones as possible, placing them evenly on your prepared baking sheet. Gather scraps, pat gently and cut out more scones.Mix the remaining 1 1/2 tablespoons of lightly beaten egg with 1 teaspoon water. Brush with the scones with the egg wash, sprinkle with remaining 1/4 cup cheese and bake until the scones are golden, about 12-15 minutes. Transfer the scones to a wire rack and cool.In a non-stick pan, heat up a bit of oil over medium heat. Fry the quail eggs sunny-side up style. They won’t take very long, so keep an eye on them.Split the biscuits in half and layer on slices of avocado and a fried quail egg. Season with salt and pepper to taste. Enjoy!