Eclairs with crème patisserie

Ingredients

• ½ cup full-fat milk
• ½ cup water
• 115g unsalted butter
• ¼ tsp sugar
• ¼ tsp salt
• 1 cup plain flour
• 5 large eggs, at room temperature
• 2 cups milk
• 6 tbsp sugar
• Pinch salt
• 2 ½ tbsp. cornflour
• 1 tbsp vanilla bean paste/vanilla extract or 1 vanilla bean
• 3 large egg yolks
• 1 large egg
• 3 tbsp unsalted butter
• 75g white chocolate, melted for decoration