[3.12] gh-126083: Fix a reference leak in asyncio.Task when reinitializing with new non-None context (GH-126103) (#126230)

gh-126083: Fix a reference leak in `asyncio.Task` when reinitializing with new non-`None` context (GH-126103)
(cherry picked from commit d07dcce693)

Co-authored-by: Nico-Posada <102486290+Nico-Posada@users.noreply.github.com>

Lib/test/test_asyncio/test_tasks.py

@@ -2489,6 +2489,28 @@ class BaseTaskTests:
         finally:
             loop.close()
 
+    def test_proper_refcounts(self):
+        # see: https://github.com/python/cpython/issues/126083
+        class Break:
+            def __str__(self):
+                raise RuntimeError("break")
+
+        obj = object()
+        initial_refcount = sys.getrefcount(obj)
+
+        coro = coroutine_function()
+        loop = asyncio.new_event_loop()
+        task = asyncio.Task.__new__(asyncio.Task)
+
+        for _ in range(5):
+            with self.assertRaisesRegex(RuntimeError, 'break'):
+                task.__init__(coro, loop=loop, context=obj, name=Break())
+
+        coro.close()
+        del task
+
+        self.assertEqual(sys.getrefcount(obj), initial_refcount)
+
 
 def add_subclass_tests(cls):
     BaseTask = cls.Task