BUG: DataFrame.__setitem__ on empty frame switches engines

[sfc-gh-mvashishtha]

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Reproducible Example

import modin.pandas as pd
import pandas
from modin.config import StorageFormat, Engine
from modin.core.storage_formats.pandas.query_compiler import PandasQueryCompiler
from modin.config import NativeDataframeMode


StorageFormat.put('Pandas')
Engine.put('Python')
python_df = pd.DataFrame()
assert isinstance(python_df._query_compiler, PandasQueryCompiler)
NativeDataframeMode.put('Pandas')
native_execution_series = pd.Series([1, 2, 3])
assert not isinstance(native_execution_series._query_compiler, PandasQueryCompiler)
NativeDataframeMode.put('Default')
python_df['new_value'] = native_execution_series
assert isinstance(python_df._query_compiler, PandasQueryCompiler)

Issue Description

DataFrame.__setitem__ switches the current frame's engine to the inserted value's query compiler's engine.

See #7427 for context: we want to track execution at a per-frame level.

Expected Behavior

We should preserve engine.

Error Logs

N/A

Installed Versions

INSTALLED VERSIONS

commit : 02515bb
python : 3.9.21
python-bits : 64
OS : Darwin
OS-release : 24.2.0
Version : Darwin Kernel Version 24.2.0: Fri Dec 6 18:56:34 PST 2024; root:xnu-11215.61.5~2/RELEASE_ARM64_T6020
machine : arm64
processor : arm
byteorder : little
LC_ALL : None
LANG : en_US.UTF-8
LOCALE : en_US.UTF-8

Modin dependencies

modin : 0.32.0+9.g02515bb8
ray : 2.40.0
dask : 2024.8.0
distributed : 2024.8.0

pandas dependencies

pandas : 2.2.3
numpy : 2.0.2
pytz : 2024.2
dateutil : 2.8.2
pip : 24.2
Cython : None
sphinx : 7.4.7
IPython : 8.18.1
adbc-driver-postgresql: None
adbc-driver-sqlite : None
bs4 : 4.12.3
blosc : None
bottleneck : None
dataframe-api-compat : None
fastparquet : 2024.11.0
fsspec : 2024.12.0
html5lib : None
hypothesis : None
gcsfs : None
jinja2 : 3.1.5
lxml.etree : 5.3.0
matplotlib : 3.9.4
numba : None
numexpr : 2.10.2
odfpy : None
openpyxl : 3.1.5
pandas_gbq : 0.26.1
psycopg2 : 2.9.10
pymysql : None
pyarrow : 19.0.0
pyreadstat : None
pytest : 8.3.4
python-calamine : None
pyxlsb : None
s3fs : 2024.12.0
scipy : 1.13.1
sqlalchemy : 2.0.37
tables : N/A
tabulate : None
xarray : 2024.7.0
xlrd : 2.0.1
xlsxwriter : None
zstandard : None
tzdata : 2024.2
qtpy : None
pyqt5 : None