Heat water and the 2/3 cup sugar together in a small heavy saucepan.
Bring mixture to a boil, stirring to dissolve sugar. Lower heat
to medium-high. Swirl the pan gently until the syrup turns a rich
golden brown - about 12 minutes.
Pour the caramel into a 10-inch
pie plate or 4-cup custard mold. Swirl it around to coat the mold
evenly. When the syrup sets, turn the mold upside down on a piece
of aluminum foil.
Heat oven to 325 degrees F.
Beat eggs and egg yolks with the 1/2 cup sugar until they are well
blended. Pour the half and half into the egg mixture, beating continually.
Pour the pomegranate juice into the mixture and beat until well
Pour the custard through a sieve into the pie plate or mold. Place
the mold in an ovenproof pan and pour boiling water halfway up the
sides of the plate or mold.
Bake for 1 hour and 20 minutes or until
a knife inserted in the center of the flan comes out clean. The
flan will be soft and creamy.
Remove the mold from the pan of water and cool to room temperature.