Preheat the oven to 350 degrees F (175 degrees C). Grease a 9x13-inch baking dish.

Whisk eggs, white sugar, vanilla extract, 2 teaspoons of cinnamon, vanilla extract, cloves, and nutmeg together in a bowl; beat in pumpkin until fully incorporated.

Arrange bread cubes in a single layer in the prepared baking dish; pour pumpkin mixture over bread cubes, and gently toss to coat.

Stir 1/3 cup of brown sugar, 1/4 teaspoon of cinnamon, flour, and butter together with a fork in a small bowl until the mixture is crumbly; sprinkle over bread cubes.

Bake in preheated oven until golden brown on top, 30 to 40 minutes.