Pip install nvidida-pyindex && pip install nvidia-cuda-nvcc does not actually install nvcc

In a clean conda environment in linux I install pip and then run:

(test2) raul:~$ pip install nvidia_pyindex && pip install nvidia-cuda-nvcc
Looking in indexes: https://pypi.org/simple, https://pypi.ngc.nvidia.com
Collecting nvidia_pyindex
  Downloading nvidia-pyindex-1.0.9.tar.gz (10 kB)
  Preparing metadata (setup.py) ... done
Building wheels for collected packages: nvidia_pyindex
  Building wheel for nvidia_pyindex (setup.py) ... done
  Created wheel for nvidia_pyindex: filename=nvidia_pyindex-1.0.9-py3-none-any.whl size=8418 sha256=0d8a157caa2313bd581769163373649a0d345f9596f0545590113a9cb0995f7c
  Stored in directory: /tmp/pip-ephem-wheel-cache-dsn29h4t/wheels/49/d0/7d/b68b3665d16ee20355e65fb7ef48b7ca26533217d9f09924fe
Successfully built nvidia_pyindex
Installing collected packages: nvidia_pyindex
Successfully installed nvidia_pyindex-1.0.9
Looking in indexes: https://pypi.org/simple, https://pypi.ngc.nvidia.com
Collecting nvidia-cuda-nvcc
  Downloading https://developer.download.nvidia.com/compute/redist/nvidia-cuda-nvcc/nvidia_cuda_nvcc-11.3.58-py3-none-manylinux1_x86_64.whl (16.8 MB)
     ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 16.8/16.8 MB 9.4 MB/s eta 0:00:00
Requirement already satisfied: setuptools in ./mambaforge/envs/test2/lib/python3.11/site-packages (from nvidia-cuda-nvcc) (68.0.0)
Requirement already satisfied: wheel in ./.local/lib/python3.11/site-packages (from nvidia-cuda-nvcc) (0.38.4)
Installing collected packages: nvidia-cuda-nvcc
Successfully installed nvidia-cuda-nvcc-11.3.58
(test2) raul:~$ nvcc
bash: nvcc: command not found
(test2) raul:~$ pip uninstall nvidia-cuda-nvcc
Found existing installation: nvidia-cuda-nvcc 11.3.58
Uninstalling nvidia-cuda-nvcc-11.3.58:
  Would remove:
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/bin/ptxas
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/common_functions.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/device_double_functions.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/device_double_functions.hpp
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/device_functions.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/device_functions.hpp
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/func_macro.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/host_config.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/host_defines.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/host_runtime.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/math_functions.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/math_functions.hpp
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/mma.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/mma.hpp
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/sm_70_rt.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/sm_70_rt.hpp
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/sm_80_rt.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/sm_80_rt.hpp
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/crt/storage_class.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/fatbinary_section.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/include/nvPTXCompiler.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/nvvm/include/nvvm.h
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/nvvm/lib64/libnvvm.so
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia/cuda_nvcc/nvvm/libdevice/libdevice.10.bc
    /home/raul/mambaforge/envs/test2/lib/python3.11/site-packages/nvidia_cuda_nvcc-11.3.58.dist-info/*
Proceed (Y/n)? y
  Successfully uninstalled nvidia-cuda-nvcc-11.3.58

If the package called nvidia-cuda-nvcc does not install nvcc, what package does? xS

Any solutions?