  For the deformed complex Ginibre ensemble with a mean normal matrix, under
certain assumptions on the mean matrix we prove that the same bulk statistics
holds as in the complex Ginibre matrix bulk. This is the continuation of the
previous joint papers ``Critical edge statistics for deformed GinUEs Preprint
arXiv: 2311.13227v1'' and ``Repeated erfc statistics for deformed GinUEs
Preprint arXiv: 2402.14362'', which deal with local eigenvalue statistics at
the edge.
