Step 1: Make the Peach Compote

1. In a small saucepan, combine the diced peaches, brown sugar, and cornstarch.
2. Cook over medium heat, stirring often, until the peaches are soft and the mixture thickens, about 10 minutes.
3. If the mixture starts to stick, add a spoonful or two of water to prevent burning.
4. Let the compote cool completely and set it aside.

Step 2: Prepare the Cinnamon Crumble

1. Preheat your oven to 350°F (175°C). Line a baking sheet with parchment paper.
2. In a small bowl, combine the flour, brown sugar, and cinnamon. Add the melted butter and stir until the mixture forms a thick paste.
3. Refrigerate the mixture for 10–15 minutes, then crumble it into small chunks using your hands.
4. Spread the chunks onto the lined baking sheet and bake for 5 minutes.
5. Let the crumble cool completely, then break it into smaller crumbs.

Step 3: Make the Cookie Dough

1. Dry Ingredients: In a medium bowl, whisk together the flour, cinnamon, baking powder, baking soda, and salt.
2. Wet Ingredients: In a large bowl, whisk the melted butter, granulated sugar, and brown sugar until smooth. Add the egg and vanilla extract, whisking until combined.
3. Combine: Gradually add the dry ingredients to the wet mixture and fold them together with a spatula until a dough forms.

Step 4: Scoop and Bake the Cookies

1. Line a baking sheet with parchment paper. Use a 4-tablespoon cookie scoop to portion the dough onto the sheet, leaving about 2 inches of space between each cookie.
2. Bake at 350°F for 11–12 minutes, or until the edges are set but the centers remain soft.
3. Remove the cookies from the oven and, while they’re still warm, use the back of a spoon to press an indentation into the center of each cookie.
4. Let the cookies cool completely on a wire rack before adding toppings.

Step 5: Prepare the Cinnamon Cream Cheese Frosting

1. In a small bowl, combine the softened cream cheese, powdered sugar, cinnamon, and vanilla extract.
2. Use an electric mixer to beat the ingredients until smooth and creamy.
3. Transfer the frosting to a piping bag and cut off the tip.

Step 6: Assemble the Peach Cobbler Cookies

1. 1. Spoon a generous amount of peach compote into the indentation of each cookie.
   2. Pipe a swirl of cinnamon cream cheese frosting over the peach compote.
   3. Sprinkle the cinnamon crumble on top for a crunchy finish.