[3.11] gh-109234: Hint to contextlib.closing in sqlite3 context manager docs (GH-109322) (#110294)

(cherry picked from commit 4227bfa)

Co-authored-by: Lincoln <[email protected]>
Co-authored-by: blurb-it[bot] <43283697+blurb-it[bot]@users.noreply.github.com>
Co-authored-by: Erlend E. Aasland <[email protected]>

Author: 4 people

Doc/library/sqlite3.rst

@@ -2195,9 +2195,9 @@ If there is no open transaction upon leaving the body of the ``with`` statement,
 the context manager is a no-op.
 
 .. note::
-
    The context manager neither implicitly opens a new transaction
-   nor closes the connection.
+   nor closes the connection. If you need a closing context manager, consider
+   using :meth:`contextlib.closing`.
 
 .. testcode::