ENH: Implement cum* methods for PyArrow strings
- [ ] closes #xxxx (Replace xxxx with the GitHub issue number)
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- [ ] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
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Implements `cumsum`, `cummin`, and `cummax` for PyArrow-backed strings. I don't see a way to do this without passing through NumPy - if there are other ideas for approaching happy to give those a shot.

cc @WillAyd @jorisvandenbossche 
> I don't see a way to do this without passing through NumPy - if there are other ideas for approaching happy to give those a shot.

The only other way I think that would be reasonable to implement this in would be to use nanoarrow, but that's a larger implementation. I think this is fine for now - just not very performant but that can always be improved later @jorisvandenbossche - friendly ping. Thanks @rhshadrach  Owee, I'm MrMeeseeks, Look at me.

There seem to be a conflict, please backport manually. Here are approximate instructions:

1. Checkout backport branch and update it.

```
git checkout 2.3.x
git pull
```

2. Cherry pick the first parent branch of the this PR on top of the older branch:
```
git cherry-pick -x -m1 b5d4e89d378e69a87b1b9ac7f3d6fa6867840fff
```

3. You will likely have some merge/cherry-pick conflict here, fix them and commit:

```
git commit -am 'Backport PR #60633: ENH: Implement cum* methods for PyArrow strings'
```

4. Push to a named branch:

```
git push YOURFORK 2.3.x:auto-backport-of-pr-60633-on-2.3.x
```

5. Create a PR against branch 2.3.x, I would have named this PR:

> "Backport PR #60633 on branch 2.3.x (ENH: Implement cum* methods for PyArrow strings)"

And apply the correct labels and milestones.

Congratulations — you did some good work! Hopefully your backport PR will be tested by the continuous integration and merged soon!

Remember to remove the `Still Needs Manual Backport` label once the PR gets merged.

If these instructions are inaccurate, feel free to [suggest an improvement](https://github.com/MeeseeksBox/MeeseeksDev).
                 Manual backport -> https://github.com/pandas-dev/pandas/pull/60753