Preheat the oven to 350°
Melt the cup sugar in a medium saucepan over medium heat, stirring frequently, until it turns into a dark caramel amber color, 9 to 10 minutes. Carefully pour the amber colored caramel into the flanera.
To a stand mixer, add your cream cheese and mix until smooth. Then add in one egg at a time, be sure the egg is fully incorporated before adding in the next egg.
Then mix in the egg yolks. Next, slowly add in the condensed milk, coconut milk, evaporated milk, salt coconut extract and vanilla. Whisk to combine.
Place the flanera in a 9x13 baking dish. Using a strainer, pour the flan mixture into your prepared flanera. Fill the baking dish with warm water halfway up the sides to create a water bath/baño Maria. Cover the flan with the lid of the flanera or with aluminum foil.
Bake the flan for 1 hour and fifteen minutes or until the centers jiggle slightly when shaken. Every 30 minutes or so, check the water in the water back to make sure it's not boiling, if it is boiling add more water. This will ensure that your flan does not have any bubbles in it. Let the flanera cool in the water bath, then refrigerate for at least 2 hours.
When ready to serve, run a paring knife around the edge of the ramekin, place a serving platter or large plate over the top, and invert the ramekin, Give the flan mold a few taps with a spoon to help release the flan from the mold. Liquid caramel will drip down the sides of the flan.