Title: BUG: Fix Incorrect Logical Operation Between Pandas DataFrame and Series (#60204)

[Lavishgangwani]

This PR fixes issue #60204, where logical operations (&, |, ^) between a DataFrame and a Series were not correctly broadcasting, leading to unexpected results. The issue was observed when attempting operations like (df >= 10) | (df['A'] >= 10), where df is a DataFrame and df['A'] is a Series.

Changes Made

• Adjusted logical_op function: Added logic to handle cases where left is a DataFrame and right is a Series. The function now converts right to a NumPy array to allow proper broadcasting.
• Type Check for List-like Objects: Added error handling to raise a TypeError if right is a list-like object (e.g., list, tuple) without a defined dtype, as these are unsupported in logical operations with DataFrames.
• Enhanced Boolean Casting with fill_bool: Modified fill_bool to ensure proper casting to boolean, accommodating non-boolean types and handling missing values correctly.

Code Adjustments

• Imports and Compatibility: Ensured correct imports for DataFrame and Series types, applied lib.item_from_zerodim for handling zero-dimensional right objects.
• Broadcasting Conversion: Converted right to right.values when it's a Series, enabling proper broadcasting across DataFrame columns in logical operations.

Testing and Validation

• New Unit Tests: Added specific tests in pandas/tests/arithmetic/test_ops.py to verify:
  • Correct Broadcasting: Tested logical operations between DataFrame and Series to ensure correct broadcasting behavior.
  • Error Handling: Confirmed TypeError is raised for unsupported list-like objects without dtype.
  • Boolean Casting with NaNs: Verified the behavior when logical operations involve NaNs or non-boolean compatible types.

Additional Notes

• Backward Compatibility: This fix is backward-compatible and applies only to scenarios involving DataFrame and Series logical operations.
• Minimal Performance Impact: The change is isolated to broadcasting adjustments, so any performance impact should be minimal.

Checklist

• Code changes are consistent with Pandas guidelines.
• New tests have been added and pass successfully.
• Documentation and comments are added where necessary.
• Changes are backward-compatible.

Related Issue

Closes #60204

Thank you for reviewing this PR! Please let me know if further adjustments are needed.

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[mroeschke]

Thanks for the pull request, but it appears to have gone stale. If interested in continuing, please merge in the main branch, address any review comments and/or failing tests, and we can reopen.