Preheat the oven to 350°F. Line a 8 x 8-inch baking pan with parchment paper.
In the bowl of a stand mixer fitted with the paddle attachment, add the butter, cane sugar, dark brown sugar, and vanilla extract. Mix on low until combined and there are no butter chunks.
Add the eggs, flour, cinnamon, cloves, ginger, baking soda, and sea salt in that order. Mix on low until combined into a smooth dough.
Chop the chocolate bars into small pieces. Reserve about one-quarter of the chocolate and set aside. Add the three-quarters of the chocolate pieces into the cookie dough and mix on low until combined.
Press the dough into the prepared pan evenly. Add the remaining chocolate one-quarter of the chocolate pieces on top of the bars.
Bake for 35 to 40 minutes or until the top looks set, cracked, and golden brown. Sprinkle with cane sugar immediately after coming out of the oven. Allow to cool completely in the pan.
Using a sharp knife cut into 9 bars.
Store in an airtight container for up to 5 days.