BUG: meshgrid() for 3 or 4 arrays of input is giving wrong results

[R0ckySu]

Describe the issue:

meshgrid() works fine with just 2 arrays as input.
When working with higher dimension(greater than 3) it fails to construct the meshgrid in the right order.

Reproduce the code example:

A = [1,2,3]
B = [311,422]
C = [0.11,0.22,0.33]
Am, Bm, Cm = np.meshgrid(A,B,C)

Error message:

Expect Bm to be:
array([[[311, 311, 311],
        [422, 422, 422]],

       [[311, 311, 311],
        [422, 422, 422]],

       [[311, 311, 311],
        [422, 422, 422]]])
But get:
array([[[311, 311, 311],
        [311, 311, 311],
        [311, 311, 311]],

       [[422, 422, 422],
        [422, 422, 422],
        [422, 422, 422]]])

Python and NumPy Versions:

1.26.4
3.9.19 | packaged by conda-forge | (main, Mar 20 2024, 12:38:46) [MSC v.1929 64 bit (AMD64)]

Runtime Environment:

[{'numpy_version': '1.26.4',
'python': '3.9.19 | packaged by conda-forge | (main, Mar 20 2024, 12:38:46) '
'[MSC v.1929 64 bit (AMD64)]',
'uname': uname_result(system='Windows', node='DESKTOP-5LVQAIH', release='10', version='10.0.22621', machine='AMD64')},
{'simd_extensions': {'baseline': ['SSE', 'SSE2', 'SSE3'],
'found': ['SSSE3',
'SSE41',
'POPCNT',
'SSE42',
'AVX',
'F16C',
'FMA3',
'AVX2',
'AVX512F',
'AVX512CD',
'AVX512_SKX',
'AVX512_CLX',
'AVX512_CNL',
'AVX512_ICL'],
'not_found': []}},
{'architecture': 'SkylakeX',
'filepath': 'C:\Users\LabUser '
'OPX\AppData\Roaming\Python\Python39\site-packages\numpy.libs\libopenblas64__v0.3.23-293-gc2f4bdbb-gcc_10_3_0-2bde3a66a51006b2b53eb373ff767a3f.dll',
'internal_api': 'openblas',
'num_threads': 16,
'prefix': 'libopenblas',
'threading_layer': 'pthreads',
'user_api': 'blas',
'version': '0.3.23.dev'},
{'architecture': 'SkylakeX',
'filepath': 'C:\Users\LabUser '
'OPX\AppData\Roaming\Python\Python39\site-packages\scipy.libs\libopenblas_v0.3.27--3aa239bc726cfb0bd8e5330d8d4c15c6.dll',
'internal_api': 'openblas',
'num_threads': 16,
'prefix': 'libopenblas',
'threading_layer': 'pthreads',
'user_api': 'blas',
'version': '0.3.27'}]

Context for the issue:

No response

[Jaimin020]

Bug confirmed. I've attached a reproducible notebook with the relevant code. I am working on this bug.
link: https://colab.research.google.com/drive/1lBdxPRiU-mgf_Rx7vvZKNqnO8Fa_BdZ-?usp=sharing