Preheat the oven to 350F. Line a baking sheet with parchment paper and lightly grease it all over with olive oil or a spray.
In a high-speed blender, add all of the pesto ingredients and blend until smooth or slightly chunky, starting at a low speed. Transfer to a container, scraping out every last bit.
In the blender (no need to rinse), add the cottage cheese and eggs. Blend until smooth. Pour down the center of the baking sheet. Use a rubber spatula to spread it into a thin, even rectangle that takes up most of the baking sheet.
Bake for 35 minutes or until deeply browned on top and on the edges. Don’t take it out early - I did this during testing and the wrap ripped open very easily. It’s better to over bake it. Let cool completely (another key step).
To assemble, spread about ¼ cup pesto down the center of the wrap. Top with a layer of turkey, cheese, tomato, and arugula. Carefully fold and roll into a wrap. Cut in half with a serrated knife.