The article addresses the critique of "Cotton Gravity" (CG) by Clement and Noiucr, who claim that CG is not predictive due to an infinite number of spherically symmetric vacuum solutions and geometric constraints on the Cotton tensor. The authors of this response argue that these claims are incorrect and misrepresent the theory. They introduce an alternative formulation of CG using a Codazzi tensor, which they argue provides deeper theoretical insights and avoids the limitations of the Cotton formulation. The Codazzi formulation does not rely on a third-order tensor and allows for a higher degree of control over the energy-momentum tensor, making it more consistent and applicable to various spacetime symmetries. The response demonstrates that the Codazzi formulation can handle non-vacuum conformally flat spacetimes and reduces the complexity of the field equations. It also shows that the Codazzi formulation can provide unique vacuum solutions, such as the Schwarzschild solution, and generalizes known General Relativity (GR) solutions. The authors conclude that the Codazzi formulation of CG is more robust and consistent, and they emphasize the need for further testing and examination of alternative gravity theories.The article addresses the critique of "Cotton Gravity" (CG) by Clement and Noiucr, who claim that CG is not predictive due to an infinite number of spherically symmetric vacuum solutions and geometric constraints on the Cotton tensor. The authors of this response argue that these claims are incorrect and misrepresent the theory. They introduce an alternative formulation of CG using a Codazzi tensor, which they argue provides deeper theoretical insights and avoids the limitations of the Cotton formulation. The Codazzi formulation does not rely on a third-order tensor and allows for a higher degree of control over the energy-momentum tensor, making it more consistent and applicable to various spacetime symmetries. The response demonstrates that the Codazzi formulation can handle non-vacuum conformally flat spacetimes and reduces the complexity of the field equations. It also shows that the Codazzi formulation can provide unique vacuum solutions, such as the Schwarzschild solution, and generalizes known General Relativity (GR) solutions. The authors conclude that the Codazzi formulation of CG is more robust and consistent, and they emphasize the need for further testing and examination of alternative gravity theories.