Move cuts with answers

Implements #64 (closed)

Adds a button that allows admins to move cuts including the answers. Uses the existing logic to add cuts but calls the edit_cut endpoint. Backend changes are based on the django backend. The MR target is set to add-split-name so that only the specific changes are visible. Reuses the backend logic of !50 (merged) which is why this branch is based on the add-split-name branch. We probably cannot merge this rn, but I appreciate any testing so that we can merge this after django is merged.