Preheat oven to 350ºF and line a baking sheet with parchment paper. Whisk together the flour, baking soda, and salt until combined; set aside.

In the bowl of a stand mixer fitted with the paddle attachment, cream the butter, cream cheese, and both sugars together until lightened in color and creamy.

Beat in the egg, vanilla, and almond extract, followed by the pudding mix. Scrape down the sides of the bowl, then dump in the flour mixture. Beat until just combined. Stir in the circus animal cookies, Kit Kats, and sprinkles by hand.

Scoop the dough out, roll into a ball, flatten into a thick disc, then place onto the lined baking sheet about 2 inches apart. Bake for 8-10 minutes, or until edges begin to turn golden. Centers may appear undercooked, but will set up as they cool.

Immediately after removing cookies from the oven, gently press a few bits of circus animal cookies into the top of each cookie along with extra Kit Kats, if desired.

Allow cookies to cool on baking sheet for 5 minutes before transferring to a wire rack to finish cooling.