In a large bowl, whisk avocado oil and sugar until glossy. Mix in eggs, sour cream, buttermilk, sourdough discard, vanilla, lemon zest, lemon juice, and lemon extract (if using).
1/2 (120g) cup sourdough discard, 1 (200g) cup granulated sugar, 1/3 (80g) cup buttermilk, 1/2 (120g) cup avocado oil, 3 large eggs, 1/4 (60g) cup sour cream, 2 (30g) Tbsp fresh lemon juice, 2 lemons, zested, 1 tsp lemon extract, 1 tsp vanilla extract