Preheat the oven to 325°C and generously grease and flour a 10-inch bundt pan so the cake releases cleanly.
In a large bowl, beat the softened butter and cream cheese together until light, smooth, and fluffy.
Add the granulated sugar gradually, mixing until the mixture looks pale and airy.
Beat in the eggs one at a time, scraping the bowl as needed, then mix in the vanilla extract.
In a separate bowl, whisk together the flour, baking powder, and salt.
Add the dry ingredients to the wet mixture in a few additions, mixing on low just until combined.
Toss the chopped strawberries with 1 tablespoon of flour, then gently fold them into the batter.
Spoon the batter into the prepared bundt pan, smooth the top, and tap the pan on the counter to release air bubbles.
Bake for 75–85 minutes, or until a toothpick inserted in the center comes out clean or with moist crumbs.
Cool the cake in the pan for 15–20 minutes, then invert onto a rack and cool completely.
For the glaze, whisk together powdered sugar, milk, vanilla, and strawberry puree until smooth, then drizzle over the cooled cake.