Turn batter out into prepared pie dish, smoothing the top lightly with a spatula. Bake for about 10 to 12 minutes or until edges firm up slightly and center will have begun to set up a bit. It's by no means done, but pie will be returned to oven to bake another 25 minutes or so.
Return pan to oven and bake for about 25 minutes, or until there's slightly bubbling near the edge of dish and the center has dried out some and looks more set. Cookie pie will firm up more as it cools. In the last 10 minutes of baking, watch it like a hawk because the coconut, caramel, and sweetened condensed milk will all be prone to burning; better to underbake than overbake if you're unsure.
Allow pie to cool in dish on a wire rack while you melt the chocolate for drizzling by adding 3/4 cup chocolate chips to a small microwave-safe bowl and heat to melt, about 1 minute on high power. Stop to check and stir and heat in 10-second increments until chocolate can be stirred smooth.
Using a spoon (or pastry bag or ziptop bag with corner cut off if you want to be fancier but I didn't bother), evenly drizzle the chocolate in long vertical lines, parallel to each other, spaced about 1/2-inch apart. Pie doesn't have to be cooled to add the chocolate drizzle.
Allow pie to continue to cool on wire rack for at least 4 hours (or overnight) before slicing and serving. Don't slice too early because chocolate drizzle needs to set and interior of pie needs to firm up or you'll have a literal hot mess. Pie is best fresh, but will keep airtight at room temperature for up to 5 days, or in the freezer for up to 6 months. I store it by slicing into small wedges, wrapping each wedge individually in plasticwrap, and putting those in a large ziptop bag.