In a large bowl or stand mixer fitted with a whisk attachment, beat together 32 ounces cream cheese 1½ cups granulated sugar, and 1 tablespoon coffee extract on medium speed until smooth, about 2 minutes. Scraping down the sides of the bowl every 30 seconds or so, and make sure no lumps remain.
Add the 5 large eggs one at a time, mixing on low speed after each addition. Make sure only a little yellow remains from the previous egg before adding the next.
With the mixer on low speed, add in the ½ cup heavy cream, 2 ounces cold brew coffee, 2 teaspoons lemon juice, and 1 teaspoon salt and mix until fully incorporated.
Sift the ⅓ cup all-purpose flour into the mixing bowl and mix on low speed for 10 seconds. Scrape down the sides of the bowl and beat for another 10 seconds.
Place the springform pan in a larger baking pan and fill the larger pan with water until it's about halfway up the sides of the springform pan to create the water bath. This helps prevent your cheesecake from cracking.
Pour the cheesecake batter into the prepared pan, the filling will feel like a lot, but add all of it.
Bake for 75 to 85 minutes on the middle oven rack until the center is almost set and has a matte/dull appearance but is still a little jiggly and the edges will also be just light golden.
Turn off the heat and let the cheesecake sit in the oven for an additional 20 minutes.
Remove from the oven and run a paring knife around the edge of the pan to loosen the cheesecake then remove the aluminum foil and transfer the cheesecake to a wire rack to cool to room temperature. About 3 hours.
Cover the cheesecake with plastic wrap, gently pressing the plastic wrap against the top of the cheesecake. Then transfer the cheesecake (in the pan) to the refrigerator to chill for at least 8 hours, preferably overnight. Prepare and add the ganache 2 to 3 hours before ready to serve.