gh-91555: add warning to docs about possibility of deadlock/infinite recursion

Attempt to clarify in the documentation that care must be taken when using
multiprocessing classes to implement logging since they have builtin internal
logging, and hence may cause deadlock/infinite recursion.

Author: duaneg

Doc/library/logging.handlers.rst

@@ -1059,6 +1059,14 @@ possible, while any potentially slow operations (such as sending an email via
    .. note:: If you are using :mod:`multiprocessing`, you should avoid using
       :class:`~queue.SimpleQueue` and instead use :class:`multiprocessing.Queue`.
 
+   .. warning::
+
+      The :mod:`multiprocessing` module uses an internal logger created and
+      accessed via :meth:`~multiprocessing.get_logger`.
+      :class:`multiprocessing.Queue` will log ``DEBUG`` level messages upon
+      items being queued. If those log messages are processed by the same
+      :class:`QueueHandler` it will cause a deadlock or infinite recursion.
+
    .. method:: emit(record)
 
       Enqueues the result of preparing the LogRecord. Should an exception