In the morning feed your sourdough starter. In a bowl, mix all the starter ingredients until well combined. Scoop the mixture into a clean jar and cover it with a loose lid. Leave it in a warm place to double.
When the starter has doubled, begin the dough. Add the butter and water in a small saucepan and warm it up until the butter has melted.
Pour it into a large mixing bowl and add the cold milk. This will bring the temperature of the water down to make it lukewarm.
Add the sourdough starter and sugar and give it a whisk with a fork to combine it. The starter won't combine properly yet.
Add the flour and salt and use a fork to combine them. Switch to using your hands and push the dough into a shaggy and sticky dough ball. It won't be smooth yet, but ensure everything is well combined.
Place the dough ball in a clean, large bowl and give it a stretch and fold. Cover the bowl with a damp tea towel or plastic wrap and place it in a warm place. Over the next hour, give the dough another 3 sets of stretch and folds, spaced around 20 minutes apart.
After the hour, let the dough rise in the warm spot for another 3-4 hours, ideally around 77°F/25°C) until puffed out by around 40%. If you have a cold kitchen, create a warm and humid spot by placing the dough into a turned-off oven alongside a bowl of boiled water. Replace the water as needed when it cools down.