Melt 145g butter in a small saucepan over medium heat and cook, stirring frequently, until the bubbling subsides, the milk solids turn deep amber, and it smells nutty.
Transfer to a heatproof bowl (you should have about 115g remaining) and refrigerate, stirring every 5 minutes, until the butter begins to thicken to a spreadable paste texture, which takes about 15 minutes.
In the bowl of a stand mixer fitted with the paddle attachment, combine the cooled brown butter, softened butter, peanut butter, both sugars, miso, and honey. Cream on medium speed for about 5 minutes until the mixture is fully incorporated and slightly pale. Scrape down the bowl thoroughly then mix for 10 more seconds. Avoid over creaming.
Once the dough is homogenous and a light brown color, stream in the eggs and vanilla while the paddle spins on low speed and mix until just incorporated.
In a medium bowl, whisk together flour, baking powder, baking soda, and salt.
Add the dry ingredients to the mixer bowl and mix on the lowest speed until the dough just comes together. Stop as soon as you no longer see dry flour.
Using a large portion scoop and digital scale, portion the dough into 120g balls. Don't shape or over-handle the balls to be sure you're left with plenty of texture on top of the dough balls.
Place 6 dough balls per half sheet tray, leaving plenty of room between them to allow for spreading.
Sprinkle on a generous pinch of raw or demerara sugar on the top of each dough ball. This adds crunch to the finished cookie.
Bake at 325°F (160°C) for 20-22 minutes until the edges are golden brown and the top is just barely starting to set. They'll look slightly underdone in the center, but they firm up as they cool.
Cool completely on the sheet tray before enjoying.