Preheat oven to 350° F. Line a 9x13 inch baking pan with parchment paper, spray with cooking oil and set aside.
In a stainless steel or light-colored saucepan, melt butter over medium heat. The butter will form bubbles and foam, so you'll need to push it aside with a spoon in order to watch the color of your melted butter. Once the milk solids have turned golden brown, remove from heat. Pour the butter into a separate bowl and set aside to cool.
In a large bowl or stand mixer, combine butter and brown sugar. Stir to combine.
Add the sourdough discard, eggs, vanilla extract, and zested lime and stir to combine.
Fold in the white chocolate chips.
Spread the batter evenly into the prepared baking pan using a rubber spatula or spoon.
Bake for 22-25 minutes, or until the top of the bars are shiny and lightly golden brown. They may even appear slightly underbaked in the center.
Remove from the oven and allow to cool on a wire rack.
Once cool, drizzle with melted white chocolate, or top with cream cheese frosting (recipe below)