Title: BUG: Fix Incorrect Logical Operation Between Pandas DataFrame and Series (#60204)
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
- [x] Code changes are consistent with Pandas guidelines.
- [x] New tests have been added and pass successfully.
- [x] Documentation and comments are added where necessary.
- [x] Changes are backward-compatible.

### Related Issue
Closes #60204

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

---
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.