Deep Dish Blueberry Pie

• 1 egg yolk
• 1 egg with
• 1,900 gr blueberries picked over
• 170 gr all purpose flour
• 130 gr sugar
• 65 gr butter bits (cold unsalted cut into)
• 45 gr rum
• 26 gr sugar
• 24 gr cornstarch
• 22 ml ice water for the filling