Easy Strawberry Danish with Lemon Icing (Flaky Puff Pastry Shortcut)

Ingredients

• 1 sheet frozen puff pastry, about 8.5 oz (240 g), thawed but cold
• 4 oz (115 g) cream cheese, softened
• 3 tablespoons powdered sugar
• 1/2 teaspoon vanilla extract
• 1 teaspoon finely grated lemon zest
• 1 cup (150 g) fresh strawberries, hulled and thinly sliced
• 1 tablespoon granulated sugar
• 1 teaspoon cornstarch
• 1 teaspoon fresh lemon juice
• 1 large egg
• 1 teaspoon water
• 3/4 cup (90 g) powdered sugar, sifted
• 1 tablespoon fresh lemon juice
• 1-2 teaspoons milk, as needed
• 1/2 teaspoon finely grated lemon zest