BUG: Ensure "string[pyarrow]" type is preserved when calling extractall
When calling `extractall` on an arrow string series, although the operation itself works, the returned dataframe column is of dtype `object` instead of preserving the arrow string type. This happens since the resulting dataframe was generated with the original array dtype only if it was an instance of `StringDType`. Expanded the conditional to also preserve the dtype on `ArrowDType`.

- [x] closes #53846  
- [x] [Tests added and passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#writing-tests) if fixing a bug or adding a new feature
- [x] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
- [ ] Added [type annotations](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#type-hints) to new arguments/methods/functions.
- [x] Added an entry in the latest `doc/source/whatsnew/vX.X.X.rst` file if fixing a bug or adding a new feature.

Thank you @mroeschke, added Thanks @ABizzinotto 