gh-61162: Clarify sqlite3 connection context manager docs

Doc/library/sqlite3.rst

@@ -1431,13 +1431,27 @@ case-insensitively by name:
 .. literalinclude:: ../includes/sqlite3/rowclass.py
 
 
+.. _sqlite3-connection-context-manager:
+
 Using the connection as a context manager
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
-Connection objects can be used as context managers
-that automatically commit or rollback transactions. In the event of an
-exception, the transaction is rolled back; otherwise, the transaction is
-committed:
+A :class:`Connection` object can be used as a context manager that
+automatically commits or rolls back open transactions when leaving the body of
+the context manager.
+If the body of the :keyword:`with` statement finishes without exceptions,
+the transaction is committed.
+If this commit fails,
+or if the body of the ``with`` statement raises an uncaught exception,
+the transaction is rolled back.
+
+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 does not implicitly open a new transaction
+ or close the connection.
 
 .. literalinclude:: ../includes/sqlite3/ctx_manager.py
 

Misc/NEWS.d/next/Documentation/2022-06-16-10-10-59.gh-issue-61162.1ypkG8.rst

@@ -0,0 +1 @@
+Clarify :mod:`sqlite3` behavior when :ref:`sqlite3-connection-context-manager`.