BUG: Cannot insert lists into individual cells with at or loc. Works in pandas.

[bdalal]

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Reproducible Example

import pandas as pd
import modin.pandas as md

pandas_df = pd.DataFrame(list(range(5)), columns=['x'])
modin_df = md.DataFrame(list(range(5)), columns=['x'])

pandas_df.at[1, 'x'] = 'a' # converts to object type
pandas_df.at[1, 'x'] = [1,2,3] # works

modin_df.at[1, 'x'] = 'a' # converts to object type
modin_df.at[1, 'x'] = [1,2,3] # DOESN'T work

Issue Description

This is related to #4111 which seems to have been incorrectly closed.
The bug still exists with the latest version 0.32.

Expected Behavior

Modin should allow assignment like pandas does.

Error Logs

Traceback (most recent call last):
  File "/root/venv/lib/python3.10/site-packages/modin/pandas/utils.py", line 303, in broadcast_item
    return np.broadcast_to(item, to_shape), dtypes
  File "/root/venv/lib/python3.10/site-packages/numpy/lib/stride_tricks.py", line 413, in broadcast_to
    return _broadcast_to(array, shape, subok=subok, readonly=True)
  File "/root/venv/lib/python3.10/site-packages/numpy/lib/stride_tricks.py", line 349, in _broadcast_to
    it = np.nditer(
ValueError: operands could not be broadcast together with remapped shapes [original->remapped]: (3,)  and requested shape (1,1)

During handling of the above exception, another exception occurred:

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/root/venv/lib/python3.10/site-packages/modin/logging/logger_decorator.py", line 144, in run_and_log
    return obj(*args, **kwargs)
  File "/root/venv/lib/python3.10/site-packages/modin/pandas/indexing.py", line 813, in __setitem__
    self._set_item_existing_loc(row_loc, col_loc, item)
  File "/root/venv/lib/python3.10/site-packages/modin/logging/logger_decorator.py", line 144, in run_and_log
    return obj(*args, **kwargs)
  File "/root/venv/lib/python3.10/site-packages/modin/pandas/indexing.py", line 881, in _set_item_existing_loc
    self._setitem_positional(
  File "/root/venv/lib/python3.10/site-packages/modin/logging/logger_decorator.py", line 144, in run_and_log
    return obj(*args, **kwargs)
  File "/root/venv/lib/python3.10/site-packages/modin/pandas/indexing.py", line 448, in _setitem_positional
    new_qc = self.qc.write_items(row_lookup, col_lookup, item)
  File "/root/venv/lib/python3.10/site-packages/modin/logging/logger_decorator.py", line 144, in run_and_log
    return obj(*args, **kwargs)
  File "/root/venv/lib/python3.10/site-packages/modin/core/storage_formats/pandas/query_compiler_caster.py", line 157, in cast_args
    return obj(*args, **kwargs)
  File "/root/venv/lib/python3.10/site-packages/modin/core/storage_formats/pandas/query_compiler.py", line 4639, in write_items
    broadcasted_item, broadcasted_dtypes = broadcast_item(
  File "/root/venv/lib/python3.10/site-packages/modin/pandas/utils.py", line 306, in broadcast_item
    raise ValueError(
ValueError: could not broadcast input array from shape (3,) into shape (1, 1)

Installed Versions

INSTALLED VERSIONS

commit : 3e951a6
python : 3.10.12
python-bits : 64
OS : Linux
OS-release : 5.15.0-1019-aws
Version : #23~20.04.1-Ubuntu SMP Thu Aug 18 03:20:14 UTC 2022
machine : x86_64
processor : x86_64
byteorder : little
LC_ALL : en_US.UTF-8
LANG : en_US.UTF-8
LOCALE : en_US.UTF-8

Modin dependencies

modin : 0.32.0
ray : 2.37.0
dask : 2024.9.0
distributed : 2024.9.0

pandas dependencies

pandas : 2.2.3
numpy : 1.26.4
pytz : 2020.1
dateutil : 2.8.2
pip : 22.3.1
Cython : 0.29.36
sphinx : 2.4.3
IPython : 7.32.0
adbc-driver-postgresql: None
adbc-driver-sqlite : None
bs4 : None
blosc : None
bottleneck : None
dataframe-api-compat : None
fastparquet : 2024.5.0
fsspec : 2023.10.0
html5lib : None
hypothesis : None
gcsfs : None
jinja2 : 3.1.2
lxml.etree : 4.9.3
matplotlib : 3.8.2
numba : 0.60.0
numexpr : None
odfpy : None
openpyxl : None
pandas_gbq : None
psycopg2 : 2.9.9
pymysql : None
pyarrow : 17.0.0
pyreadstat : None
pytest : 7.4.3
python-calamine : None
pyxlsb : None
s3fs : 2023.10.0
scipy : 1.11.4
sqlalchemy : None
tables : None
tabulate : 0.9.0
xarray : None
xlrd : None
xlsxwriter : None
zstandard : 0.22.0
tzdata : 2024.2
qtpy : None
pyqt5 : None