Annotate DataFrame (API exposed items from pandas.core.api)
Part of #26766 

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- [x] Part 1 #26867
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  - `_constructor`
  - `_constructor_expanddim`
  - `__init__`
  - `axes`
  - `shape`
  - `_is_homogeneous_type`

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<summary>

- [x] Part 2 (Rendering Methods) #28453
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  - `_repr_fits_vertical_`
  - `_repr_fits_horizontal_`
  - `_info_repr`
  - `__repr__`
  - `_repr_html_`
  - `to_string`
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<summary>

- [ ] Part 3 #28575 
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  - `style`
  - `items`
  - `iteritems`
  - `iterrows`
  - `itertuples`
  - `__len__`
  - `dot`
  - `__matmul__`
  - `__rmatmul__`
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<summary>

- [ ] Part 4 (IO methods)
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  - `from_dict`
  - `to_numpy`
  - `to_dict`
  - `to_gbq`
  - `from_records`
  - `to_records`
  - `from_items`
  - `_from_arrays`
  - `to_stata`
  - `to_feather`
  - `to_parquet`
  - `to_html`
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