  The dynamical $\Phi^4_3$ equation is a singular SPDE and has important
applications in physics. In this paper, we consider the equation by
approximating the Laplacian instead of the noise or the cubic term as in
previous studies. By using a good transformation as in [JP21], we show that the
approximating equation is locally well-posed and that its solution converges to
the solution of the dynamical $\Phi^4_3$ equation. We expect to be able to show
the global well-posedness and the existence of the invariant measure.
