[3.12] gh-61011: Fix inheritance of nested mutually exclusive groups in argparse (GH-125210) (GH-125309)

Previously, all nested mutually exclusive groups lost their connection
to the group containing them and were displayed as belonging directly
to the parser.

(cherry picked from commit 18c7449768)

Co-authored-by: Serhiy Storchaka <storchaka@gmail.com>
Co-authored-by: Danica J. Sutherland <djsutherland@users.noreply.github.com>

Lib/test/test_argparse.py

@@ -2880,6 +2880,35 @@ class TestParentParsers(TestCase):
               -x X
         '''.format(progname, ' ' if progname else '' )))
 
+    def test_mutex_groups_parents(self):
+        parent = ErrorRaisingArgumentParser(add_help=False)
+        g = parent.add_argument_group(title='g', description='gd')
+        g.add_argument('-w')
+        g.add_argument('-x')
+        m = g.add_mutually_exclusive_group()
+        m.add_argument('-y')
+        m.add_argument('-z')
+        parser = ErrorRaisingArgumentParser(prog='PROG', parents=[parent])
+
+        self.assertRaises(ArgumentParserError, parser.parse_args,
+            ['-y', 'Y', '-z', 'Z'])
+
+        parser_help = parser.format_help()
+        self.assertEqual(parser_help, textwrap.dedent('''\
+            usage: PROG [-h] [-w W] [-x X] [-y Y | -z Z]
+
+            options:
+              -h, --help  show this help message and exit
+
+            g:
+              gd
+
+              -w W
+              -x X
+              -y Y
+              -z Z
+        '''))
+
 # ==============================
 # Mutually exclusive group tests
 # ==============================