Compiling Fails due to sklearn/metrics/pairwise.py

### Describe the bug

_This may be a duplicate of [29754](https://github.com/scikit-learn/scikit-learn/issues/29754)._ 

Having merged from upstream, the imports in `sklearn/metrics/pairwise.py` do not compile. 

I am getting error:
"sklearn/metrics/_dist_metrics.pyx", line 1, in init sklearn.metrics._dist_metrics"

I have tried rebuilding my conda environment and sklearn.


### Steps/Code to Reproduce

$ python -m sklearn.kernel_approximation

### Expected Results

not an error

### Actual Results

```python
Traceback (most recent call last):
  File "<frozen runpy>", line 198, in _run_module_as_main
  File "<frozen runpy>", line 88, in _run_code
  File "/Users/conradstevens/scikit-learn/sklearn/kernel_approximation.py", line 20, in <module>
    from .metrics.pairwise import KERNEL_PARAMS, PAIRWISE_KERNEL_FUNCTIONS, pairwise_kernels
  File "/Users/conradstevens/scikit-learn/sklearn/metrics/__init__.py", line 6, in <module>
    from . import cluster
  File "/Users/conradstevens/scikit-learn/sklearn/metrics/cluster/__init__.py", line 28, in <module>
    from ._unsupervised import (
  File "/Users/conradstevens/scikit-learn/sklearn/metrics/cluster/_unsupervised.py", line 21, in <module>
    from ..pairwise import _VALID_METRICS, pairwise_distances, pairwise_distances_chunked
  File "/Users/conradstevens/scikit-learn/sklearn/metrics/pairwise.py", line 46, in <module>
    from ._pairwise_distances_reduction import ArgKmin
  File "/Users/conradstevens/scikit-learn/sklearn/metrics/_pairwise_distances_reduction/__init__.py", line 97, in <module>
    from ._dispatcher import (
  File "/Users/conradstevens/scikit-learn/sklearn/metrics/_pairwise_distances_reduction/_dispatcher.py", line 11, in <module>
    from .._dist_metrics import (
  File "sklearn/metrics/_dist_metrics.pyx", line 1, in init sklearn.metrics._dist_metrics
ValueError: numpy.dtype size changed, may indicate binary incompatibility. Expected 96 from C header, got 88 from PyObject
```

### Versions

```shell
$ python -c "import sklearn; sklearn.show_versions()"

System:
    python: 3.12.5 | packaged by conda-forge | (main, Aug  8 2024, 18:31:54) [Clang 16.0.6 ]
executable: /opt/homebrew/Caskroom/miniconda/base/envs/sklearn-dev-3/bin/python
   machine: macOS-14.4.1-x86_64-i386-64bit

Python dependencies:
      sklearn: 1.6.dev0
          pip: 24.2
   setuptools: 72.2.0
        numpy: 2.1.0
        scipy: 1.14.1
       Cython: 3.0.11
       pandas: None
   matplotlib: None
       joblib: 1.4.2
threadpoolctl: 3.5.0

Built with OpenMP: True

threadpoolctl info:
       user_api: blas
   internal_api: openblas
    num_threads: 10
         prefix: libopenblas
       filepath: /opt/homebrew/Caskroom/miniconda/base/envs/sklearn-dev-3/lib/libopenblasp-r0.3.27.dylib
        version: 0.3.27
threading_layer: openmp
   architecture: Nehalem

       user_api: openmp
   internal_api: openmp
    num_threads: 10
         prefix: libomp
       filepath: /opt/homebrew/Caskroom/miniconda/base/envs/sklearn-dev-3/lib/libomp.dylib
        version: None
```

COMMENT:
Great to hear that :tada:. It can happen to be in weird situations like this and the rebuild from scratch is the first thing to try ...

It's a bit hard at the beginning but after a bit of time you will get some intuition whether something is likely due to scikit-learn or to your local setup somehow. In this particular case, we have tests running on each commit on a variety of platforms so it was quite unlikely that it was a scikit-learn issue or we would likely have noticed.

Having said that, it can happen that `main` is broken, maybe once every 6 months or so, so if you notice something that does not go away after a rebuild from scratch, do open an issue!

In your particular case, I am guessing that what happened is that you built with `numpy<2` and then upgraded your environment to `numpy>=2`. This is a known issue that in this case you will get a not so user-friendly error message unfortunately see https://numpy.org/devdocs/user/troubleshooting-importerror.html#downstream-importerror-attributeerror-or-c-api-abi-incompatibility for more details.

Labels: Question