01 - Preheat your oven to 400°F (200°C).
02 - Place the feta block in the center of a baking dish. Arrange the halved cherry tomatoes around the feta. Sprinkle minced garlic, dried oregano, crushed red pepper flakes (if using), salt, and pepper over the tomatoes. Drizzle with extra-virgin olive oil and gently toss the tomatoes.
03 - Bake for 30 minutes, or until the tomatoes have burst and the feta is golden brown.
04 - While the feta and tomatoes are baking, cook the pasta in a large pot of salted boiling water according to package directions. Reserve 1/4 cup of the pasta water before draining the pasta thoroughly.
05 - Line a baking tray with parchment paper. In a clean bowl, beat the egg whites with the cream of tartar and salt until stiff peaks form. In a separate bowl, whisk together the egg yolks and softened cream cheese until smooth.
06 - Gently fold the whipped egg whites into the egg yolk and cream cheese mixture in three additions, taking care to maintain as much air as possible.
07 - Spoon the cloud bread mixture into four equal rounds onto the prepared baking tray. Bake at 300°F (150°C) for 20–25 minutes, or until they are golden and set.
08 - Once the feta and tomatoes are ready, mash them together in the baking dish using a fork. Add the drained pasta and a splash of the reserved pasta water. Stir until the mixture is creamy and well combined.
09 - Serve the baked feta pasta hot, generously topped with fresh basil leaves. Present the cloud bread on the side.