Preheat oven to 400°F (200°C). In a saucepan, boil water and butter. Add flour; stir until dough forms a ball.
Cool slightly, then beat in eggs one at a time. Spread dough into ungreased 9x13-inch pan and bake for 35 minutes.
Cool crust completely. Beat cream cheese until smooth; add milk and pudding mix, then beat until thick.
Spread filling over cooled crust. Top with whipped topping and drizzle with chocolate syrup. Refrigerate before serving.
