1. Prepare the Cream Cheese Stuffing: In a medium bowl, combine the softened cream cheese, sifted powdered sugar, and vanilla extract.

2. Using an electric hand mixer or a sturdy whisk, beat until the mixture is smooth, creamy, and well combined. Scrape down the sides of the bowl as needed to ensure everything is incorporated.

3. Cover the bowl with plastic wrap and chill in the refrigerator for at least 30 minutes. This will make it easier to handle.

4. Once chilled, scoop out teaspoon-sized portions of the cream cheese mixture. Roll each portion into a small ball (about 1/2 to 3/4 inch in diameter). You should get around 24-30 balls.

5. Place the cream cheese balls on a baking sheet lined with parchment paper. Freeze them for at least 1 hour, or until firm. This step is crucial as it prevents the stuffing from melting out completely during baking.

6. Prepare the Carrot Cake Cookie Dough: Preheat your oven to 375°F (190°C). Line two large baking sheets with parchment paper or silicone baking mats.

7. In a medium bowl, whisk together the all-purpose flour, baking soda, salt, ground cinnamon, ground nutmeg, and ground ginger. Set aside. This ensures the leavening agents and spices are evenly distributed.

8. In a large bowl, using an electric mixer (either stand or hand-held), beat the softened unsalted butter, packed light brown sugar, and granulated sugar together on medium speed until light and fluffy. This usually takes about 2-3 minutes. Creaming incorporates air, which contributes to a lighter cookie texture.

9. Add the large egg and vanilla extract to the butter-sugar mixture. Beat on medium speed until well combined, scraping down the sides of the bowl as necessary.

10. Gradually add the dry ingredient mixture to the wet ingredients in two or three additions. Mix on low speed until just combined. Be careful not to overmix at this stage, as overmixing can lead to tough cookies.

11. Gently fold in the finely grated carrots and the chopped walnuts or pecans (if using) with a spatula until they are evenly distributed throughout the dough. The dough will be thick and a bit sticky.

12. Assemble and Bake the Cookies: Take a portion of cookie dough, about 1.5 to 2 tablespoons (a medium cookie scoop works well here). Flatten the dough into a disc in the palm of your hand.

13. Place one frozen cream cheese ball in the center of the dough disc.

14. Carefully wrap the cookie dough around the cream cheese ball, ensuring it’s completely sealed. Roll the dough gently between your palms to form a smooth ball. If the dough is too sticky, you can lightly flour your hands or chill the dough for 15-20 minutes.

15. Place the stuffed cookie dough balls onto the prepared baking sheets, spacing them about 2 inches apart as they will spread slightly.

16. Bake in the preheated oven for 12-15 minutes, or until the edges are golden brown and the tops are set. The exact baking time will depend on your oven and the size of your cookies.

17. Once baked, let the cookies cool on the baking sheets for 5-10 minutes. They will be very soft and delicate when hot due to the melted stuffing. This cooling period allows them to set up.

18. Carefully transfer the cookies to a wire rack to cool completely. The cream cheese filling will firm up again as they cool.

19. Optional Glaze (if using): While the cookies are cooling, prepare the glaze if desired. In a small bowl, beat the softened cream cheese until smooth.

20. Gradually add the sifted powdered sugar and beat until combined.

21. Add milk or lemon juice, one tablespoon at a time, mixing until the glaze reaches your desired drizzling consistency. For a tangier glaze, lemon juice is a great choice.

22. Once the cookies are completely cool, drizzle the glaze over them. You can also lightly dust them with extra powdered sugar. Allow the glaze to set before storing or serving.