Preheat the oven to 350°F. Line a baking sheet with parchment paper.
To make the dough: In the bowl of a stand mixer fitted with the paddle attachment, add the butter, 170 grams of cane sugar, vanilla extract, and mix on low until combined and there are no chunks of butter. Add the eggs and mix just slightly, enough to break the yolks.
Add the all purpose flour, baking powder, cinnamon, and sea salt in that order and mix on low until a stiff dough forms. Add the blueberries and mix to combine.
Using your hands form a large log out of the cookie dough and flatten slightly so it’s about 1-inch thick, it should be about 12 x 3 inches. Sprinkle the 2 tablespoons of cane sugar on top of the log.
Bake for 35 minutes or until the middle looks set, but not completely done.
Remove from oven and let rest for 10 to 15 minutes or until it's cool enough to cut nice clean cuts. Trim off the edges, then slice into 12 pieces, separate them, and bake again for 20 minutes. Allow to cool completely on the baking sheet.
Store in a cool dry place for up to 7 days.