Arrange a rack in the middle of the oven and heat the oven to 300°F.
Place 3 cups rolled oats, ½ cup maple syrup, ¼ cup olive oil, 1 teaspoon pumpkin pie spice, and 1 teaspoon kosher salt in a large bowl and stir to combine. Whisk 1 large egg white in a small bowl until frothy, then pour it over the oat mixture and stir everything to combine. Transfer to a rimmed baking sheet and spread out into an even layer.
Bake until the oats are lightly browned and dry, 40 to 45 minutes. Meanwhile, dice until you have a ½ cup each of dried apples, candied ginger, and pecans. Transfer to a large bowl and stir to combine.
Set the oats aside until cooled to room temperature. Add to the apple mixture and stir to combine.
