The proposed numerical approximation methods can be extended to handle more general classes of MV-SDEs, including those with super-linear growth coefficients, by adapting the existing framework to accommodate the specific characteristics of these equations. One approach could involve modifying the self-interacting process to incorporate the nonlinearity introduced by the super-linear growth coefficients. This may require adjusting the convergence analysis to account for the increased complexity in the dynamics of the system. Additionally, the numerical schemes, such as the EM scheme, may need to be tailored to handle the specific form of the coefficients in the SDEs. By carefully considering the properties of the super-linear growth terms and their impact on the invariant measure, the numerical approximation methods can be extended to effectively capture the behavior of these more general MV-SDEs.