Combine the yeast, sugar, milk and water in a small bowl. Mix, and set aside for five minutes or until the yeast has bloomed.
Add in the melted butter and egg. Whisk to mix well.
In the bowl of a stand mixer, or large bowl if kneading by hand, add 1 1/2 cups of the bread flour, salt and the yeast mixture.
Using the paddle attachment, mix for a couple of minutes until the mixture is combined. The dough at this point will be very wet.
Switch to the dough hook. Add in one cup of bread flour, mix to combine.
Add in another half cup of flour, mix well. The dough should start to come together at this point.
Continue to add flour *as needed*, a quarter cup at a time. Being mindful not to add too much or the dough will be too dry/hard.
Once the dough starts to come together, is not too wet or sticky, stop adding flour. The dough will be slightly soft, but not sticky.
Add in one tablespoon of softened butter, mix for two to three minutes until mixed well into the dough.
Move the dough onto a flour dusted work surface and knead by hand.
Stretch the dough in four parts, folding the stretched portion back into the centre before moving on to the next side. Ex: pull the dough gently from the top and back int the centre, repeat on each side of dough. My video on TikTok and Instagram have a great visual of how to do this, if needed.
After about five minutes, add another tablespoon of softened butter. This helps the dough become smooth, as opposed to sticky.
Knead for another five minutes.
If the dough is still sticking to your fingers, continue to knead. Add up to another tablespoon of butter if needed.
Cover and rise in a greased bowl for one hour.
Once the dough has doubled in size, punch down and divide into 12 equal balls. For smooth tops, pull the dough downwards towards the bottom and pinch to seal.
Place in a greased 9x13 baking dish, cover and rise for thirty minutes.
Preheat the oven to 375F. Brush the buns with the egg wash and bake for 20-25 minutes, or until golden brown.
Brush the hot rolls with melted butter and sprinkle with flaky sea salt