ENH: Expose NoDefault in pandas.api.extensions
- [ ] closes #60488
- [ ] [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/v3.0.0.rst` file if fixing a bug or adding a new feature.

From the original issue -
```
No type is provided for the pandas.api.extensions.no_default sentinel.

This is a problem when trying to type annotate functions or methods that forward arguments into Pandas functions that accept the no_default sentinel.
```
Thanks @snitish 