In a large saucepan, heat the cream, milk-sweetened condensed milk, and vanilla bean (scrape seeds from the pod and add them to the milk mixture). Keep the heat at medium and stir occasionally. Once the mixture is hot, remove it from the heat.
Add 2 1/2 cups of white chocolate to the hot cream mixture. Stir gently until the chocolate melts and the mixture becomes smooth and well combined.
In a separate large bowl, combine the eggs and yolks. Gradually pour the cream mixture into the eggs while whisking continuously. Make sure to pour slowly and keep whisking to prevent curdling.
Cut the bread into slices that are approximately 1/2 inch thick. Place the slices in a large bowl. Slowly pour the cream and egg mixture over the bread, making sure all the slices are coated. Press the bread gently to help it absorb the liquid and become moist.
Add the remaining cup of white chocolate to the bread mixture. Stir gently to distribute the chocolate, making sure not to let it melt completely.
Transfer the mixture evenly into a 9" x 13" baking pan. Cover the pan with foil and place it in a preheated oven at 350 degrees Fahrenheit (175 degrees Celsius). Bake for about one hour.
After one hour, remove the foil and continue baking for an additional hour, or until the bread pudding is set and golden brown on top.
Once fully baked, remove the pan from the oven and let the bread pudding cool completely before cutting into desired portions. Enjoy!