Each v3 cabinet, supplying 4 charging posts, draws around 350kVA from the grid.
So the overall site should need something like 2 x 2800kVA.
They may end up getting two 4000amp 480V feeds from SCE, which would come from the 12kV distribution network.
The 66kV line feeding claremont colleges private substation is certainly a lot of capacity, but probably not something they would end up using.