\E^{(\P_{0,F})^{\omega}_{\widetilde{\tau}}} \Big[ \psi\Big( X_{t_0}^{\alpha,\beta}(\omega), \dots, X_{t_k}^{\alpha,\beta}(\omega), X_{t}^{\alpha,\beta}(\omega) +\int_t^{t_{k+0}} \alpha_s^{0/0}(B)d(B_s^{(\P_{0,F})^\omega_{\widetilde \tau},c}) \\  &\hspace{-0.0em}+ \int_t^{t_{