Preheat oven to 375°F (190°C). Line 4 baking sheets with parchment paper.

In the bowl of a stand mixer fitted with the paddle attachment, beat butter and sugars at medium speed until fluffy, 3 to 4 minutes, stopping to scrape sides of bowl. Add eggs, one at a time, beating well after each addition. Beat in vanilla.

In a medium bowl, whisk together flour, baking soda, salt, cinnamon, nutmeg, and allspice. With mixer on low speed, gradually add flour mixture to butter mixture, beating until just a few streaks of flour remain. Add apples, and beat just until combined. Using a 2-tablespoon spring-loaded scoop, scoop dough (about 36 grams each), and place 2 inches apart on prepared pans.

Bake, one batch at a time, until cookies start to melt, about 4 minutes. Sprinkle 2 teaspoons (about 7 grams) Oat Streusel on each parbaked cookie, and gently press into top. Bake until streusel and edges of cookies start to brown, 6 to 8 minutes more. Let cool completely on pans. Drizzle Spiced Glaze onto cooled cookies.