pip prod(deps): update distributed requirement from <2025.5.2 to <2025.7.1 #8266

Job	Run time
pytest-ubuntu-py312-gcc12-cxxomp-base	56m 30s
pytest-ubuntu-py311-gcc11-cxxnoomp-adjoint	32m 50s
pytest-ubuntu-py311-gcc11-cxxnoomp-base	44m 43s
pytest-ubuntu-py312-gcc12-cxxomp-adjoint	39m 35s
pytest-ubuntu-py312-gcc13-omp-base	51m 11s
pytest-ubuntu-py311-gcc10-noomp-base	42m 30s
pytest-ubuntu-py310-gcc14-omp-base	44m 36s
pytest-ubuntu-py311-gcc10-noomp-adjoint	30m 0s
pytest-ubuntu-py310-gcc14-omp-adjoint	32m 27s
pytest-ubuntu-py312-gcc13-omp-adjoint	36m 47s
pytest-ubuntu-py310-gcc9-omp-base	44m 8s
pytest-ubuntu-py310-gcc9-omp-adjoint	32m 41s
pytest-osx-py312-clang-omp-base	29m 44s
pytest-docker-py310-gcc-omp-base	37m 30s
pytest-ubuntu-py313-gcc14-omp-base	54m 40s
pytest-docker-py310-gcc-omp-adjoint	27m 44s
pytest-docker-py310-icx-omp-adjoint	29m 1s
pytest-ubuntu-py313-gcc14-omp-adjoint	39m 53s
pytest-docker-py310-icx-omp-base	32m 31s
	12h 19m 1s

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