gh-126259: Fix warning in doctest of sqlite3

[sobolevn]

After:

• Issue: Doctest warning in sqlite3.rst: "unclosed database in sqlite3.Connection" #126259

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📚 Documentation preview 📚: https://cpython-previews--126260.org.readthedocs.build/

[graingert]

Is it possible to use a with contextlib.closing(... here?

[sobolevn]

But why? I would need to import this lib and use a different syntax from other examples.

[graingert]

Ah I see there's a lot of other manual closing in the other doctests. This is not the recommended way to use this module, but it is consistent with the other tests. Perhaps this should be fixed in another ticket

[erlend-aasland]

This is not the recommended way to use this module [...]

This comment does not make sense to me, given what we're discussing. The doctests are all example code either in the reference or in the tutorial; showing the user how to set up and close a connection for each example would be contra-productive. Also, adding unneeded .. testsetup/.. testcleanup boilerplate for setting up and tearing down a connection in sqlite3.rst would not add any value at all.

[bedevere-app]

GH-126265 is a backport of this pull request to the 3.13 branch.

[bedevere-app]

GH-126266 is a backport of this pull request to the 3.12 branch.