Birationally superrigid Fano $3$-folds of codimension $4$

We have satisfactory results on both classication and birational (super)rigidity for (terminal) Fano $3$-folds of index $1$ embedded in a weighted projective space as a codimension at most $3$ subvariety. I will talk about birational superrigidity of Fano $3$-folds of index $1$ embedded in a wps as a codimension $4$ subvariety.