Switch arrow type for string array to large string
- [ ] closes #56259
- [ ] [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
- [ ] 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.
- [ ] Added an entry in the latest `doc/source/whatsnew/vX.X.X.rst` file if fixing a bug or adding a new feature.


large string is a more sensible default (take concatenates the chunks in pyarrow which can cause overflows pretty quickly), large string should avoid this

one todo for a follow up:

- ensure interoperability with ``"string[pyarrow]"``

Let's see if CI likes this
cc @mroeschke this is green now (pending merge conflicts) this is green now, so should be ready to merge