Preheat the oven to 350℉. Line 9x13 baking pan (quarter sheet baking pan) with parchment paper.
In the bowl of a stand mixer fitted with paddle attachment (or using an electric hand mixer), cream together butter, oil, sugar, and brown sugar until smooth and creamy, about 4 minutes. Scrape down the sides of the bowl as needed. Add in egg and vanilla and continue to mix until well combined.
In another bowl, whisk together flour, baking powder, baking soda, and salt. Add dry flour mixture to the mixing bowl. Mix on low speed until there are no longer any dry steaks of flour.
Reserve about 2 tablespoons each of chocolate chips and almonds. Fold in remaining chocolate chips and almonds until distributed throughout cookie batter.
Transfer to the prepared baking pan. Use your hands or the flat bottom of a drinking glass or measuring cup to press cookie dough into an even layer. Spread reserved chocolate chips and almonds over top of cookie dough.
Bake in the center rack of the oven for 18-20 minutes until the edges are lightly browned. It is better to err on the side of under-baked to ensure soft, chewy cookie bars.
Cool in pan for about 30 minutes. Then, unmold and allow to cool to room temperature on a wire rack. Use a sharp knife to cut the bars into desired portions.