In a large saucepan, combine sugar, milk, salt, and cocoa powder. Stir the mixture on medium-high heat until all the ingredients are dissolved.
Bring the mixture to a rolling boil for 1 minute, stirring constantly to prevent burning.
Remove the saucepan from the heat. Quickly stir in the peanut butter, butter, and sourdough starter until fully incorporated.
Fold in the rolled oats until everything is well mixed.
Drop the cookie mixture onto a prepared baking sheet lined with parchment paper. Use a medium cookie scoop for uniform cookies.
Let the cookies set at room temperature until they harden, about 30 minutes to 2 hours.
Once hardened, store the cookies in an airtight container to keep them fresh.
Notes
Use Quick Oats: For the best texture, use quick oats or a mix of quick-cooking oats and old-fashioned oats.
Keep an Eye on the Boil: When bringing the sugar mixture to a full boil, be sure to watch it closely. A candy thermometer can help ensure you reach the right temperature for a fudgy texture.
Choose Your Peanut Butter Wisely: Creamy peanut butter is ideal for smooth cookies, but if you prefer a bit of crunch, go for crunchy peanut butter.
Line Your Surface: Drop the cookie mixture onto a prepared baking sheet lined with parchment paper or wax paper for easy cleanup.
Let Them Set: Allow the cookies to sit at room temperature until they harden. If you're in a hurry, you can flash freeze them for faster results.