Bagel Bites With Cheese Dip

Ingredients

• 1 1/2 cups Warm water
• 1 tbsp. Light brown sugar
• 2 tsp. Salt
• 2 1/4 tsp. Active dry yeast
• 5 tbsp. Unsalted butter
• 3 1/2 cups All-Purpose flour
• 2 tbsp. Vegetable oil
• 1/3 cup. Baking soda
• 1 Egg wash
• 1/4 cup Kosher salt
• 2 tbsp. Unsalted butter
• 2 tbsp. All-Purpose flour
• 2 cups Whole milk
• 1/2 cup Cheddar cheese
• 1/2 tsp. Worcestershire sauce
• a pinch Cayenne pepper
• as needed Salt and Pepper
• 1/2 cup White American cheese