On a plate, cut butter into small pieces to be used after dough is mixing later. Allow to come to room temperature while prepping dough.
In stand mixer with paddle attachment, add the following to the bowl: flour, pumpkin, milk, honey, water, salt, cinnamon, and levain.
On speed 1, mix for a few minutes until ingredients are all combined and there aren't any dry spots.
Switch to dough hook and mix on speed 2 for 5 minutes until dough is firm.
Let dough rest for 15 minutes to hydrate.
Butter should be warm enough to add. Turn mixer back on at speed 1 and add a couple pieces of butter at a time, allowing them to incorporate fully before adding more. This will take about 10-15 minutes total.
Transfer dough to bulk fermentation container and cover*.
30 minutes after the start of bulk fermentation, uncover dough and use wet hands and stretch and fold dough over itself, rotate container 90 degrees, repeating this twice. Cover.
Repeat stretch and fold set a second time about 30 minutes later, and cover again for remainder of bulk fermentation time (3-4 hours longer).
Dough should be smooth and strong and puffy now.