Add more examples to the NEWS/What's New docs

I think having a concise list is good, but if we want to elaborate more and clarify we could also provide some examples. An example for this is "a new feature was included in Python 3.13 alpha 1, but got removed in 3.13 beta 2, before the final release of 3.13.".

If we add examples, we could follow the ✔️ good/❌ bad format and do one or two lists with examples like:

✅ the following examples need a NEWS entry:
* a new function, method, class, module
* a new HOWTO in the documentation
* the removal of a deprecated feature
* ...

❌ the following examples *don't* need a NEWS entry:
* a new feature was included in Python 3.13 alpha 1, but got removed in 3.13 beta 2, > before the final release of 3.13
* a typo fix in the documentation or in a docstring
* the addition of a new test method
* the removal of a private and internal API
* code refactoring of a module with no user-visible effects

Originally posted by @ezio-melotti in https://github.com/python/devguide/pull/1238#discussion_r1417763167

Find the NEWS/What's New documentation referenced by the issue and review its current guidance on when to add a NEWS entry. Add concise good and bad examples, including the listed Python release, documentation, testing, private API, and refactoring cases. Verify that the examples render clearly and match the surrounding guidance.