Approximation of mean curvature flow with generic singularities by smooth flows with surgery

We construct smooth mean curvature flows with surgery that approximate weak only spherical and neck-pinch singularities. This is achieved by combining the recent work of Choi-Haslhofer-Hershkovits, Choi-Haslhofer-Hershkovits-White, establishing canonical neighbourhoods such singularities, suitable barriers to surgery. A limiting argument then used control these approximating flows. conclude improving entropy bound on low-entropy Schoenflies conjecture.