Preheat your oven to 350°F. Line an 8-by-8-inch baking pan with aluminum foil and spray it with cooking spray.
In a large, microwave-safe bowl, add unsalted butter and heat it in the microwave on high for about 1 minute until melted.
Once melted, add 1/3 cup peanut butter to the bowl. Whisk the butter and peanut butter together until smooth and fully combined.
Let the mixture cool for a moment, then add 1 large egg, light brown sugar, and vanilla. Whisk everything together until the mixture is smooth and glossy.
Carefully incorporate all-purpose flour and salt into the mixture. Stir gently until just combined; be careful not to overmix.
Transfer the batter into your prepared baking pan, smoothing the top with a spatula.
Now, dollop fruit spread over the batter in small teaspoon-sized drops. Using a knife or spatula, lightly spread it into an even but thin layer.
Place the pan in the oven and bake for about 21 to 25 minutes, or until the edges are lightly golden and a toothpick comes out clean.
Once baked, take them out and let them cool on a wire rack for at least 1 hour.
Finally, evenly sprinkle peanut butter chips over the top. If you want them to melt slightly, add them while the bars are still warm.