My Python package has a dependency of an open-source package with a BSD-3-Clause-LBNL variant license. It seems the only difference between this variant and the original BSD-3-Clause license is the addition of the following text:
You are under no obligation whatsoever to provide any bug fixes, patches, or upgrades to the features, functionality or performance of the source code ("Enhancements") to anyone; however, if you choose to make your Enhancements available either publicly, or directly to Lawrence Berkeley National Laboratory, without imposing a separate written license agreement for such Enhancements, then you hereby grant the following license: a non-exclusive, royalty-free perpetual license to install, use, modify, prepare derivative works, incorporate into other computer software, distribute, and sublicense such Enhancements or derivative works thereof, in binary and source code form.
My question is whether I can license my Python package as BSD-3-Clause license?