Start by preheating your oven to 300°F (150°C). If using a convection oven, set it to convect. Prepare two large baking sheets by lining them with parchment paper to prevent sticking.
Separate the 4 large eggs, placing the whites in a stand mixer fitted with a whip attachment. Add 1/2 teaspoon cream of tartar to the whites and whip on high speed until you achieve firm, stiff peaks. Transfer the whipped whites to another bowl and set aside.
In the now-empty mixer bowl, add the 2 ounces cream cheese and beat on high until smooth and softened. Gradually add the egg yolks one at a time, ensuring each is fully incorporated before adding the next. Scrape down the sides of the bowl as needed. Once smooth, mix in the 1 teaspoon Italian seasoning and 1/2 teaspoon garlic powder.
Carefully fold the whipped egg whites into the cream cheese mixture, trying to maintain as much volume as possible. The goal is to keep the mixture light and foamy.
Spoon about 1/4 cup of the mixture onto the prepared baking sheets, gently spreading each portion into a 4-inch circle about 3/4 inch high. Leave adequate space between each circle to allow for spreading.
Bake in the preheated oven for 15-18 minutes if using convection, or up to 30 minutes in a conventional oven, until the cloud bread is golden brown and firm to the touch. The centers should be stable and not jiggle.
Allow the cloud bread to cool on the baking sheets for a few minutes before transferring them to a cooling rack.