bpo-37658: Fix asyncio.wait_for() to respect waited task status (GH-21894) (GH-21964)

Currently, if `asyncio.wait_for()` itself is cancelled it will always
raise `CancelledError` regardless if the underlying task is still
running.  This is similar to a race with the timeout, which is handled
already.
(cherry picked from commit a2118a14627256197bddcf4fcecad4c264c1e39d)

Co-authored-by: Elvis Pranskevichus <elvis@magic.io>
diff --git a/Lib/asyncio/tasks.py b/Lib/asyncio/tasks.py
index 7ecec96..8b05434 100644
--- a/Lib/asyncio/tasks.py
+++ b/Lib/asyncio/tasks.py
@@ -465,9 +465,12 @@
         try:
             await waiter
         except exceptions.CancelledError:
-            fut.remove_done_callback(cb)
-            fut.cancel()
-            raise
+            if fut.done():
+                return fut.result()
+            else:
+                fut.remove_done_callback(cb)
+                fut.cancel()
+                raise
 
         if fut.done():
             return fut.result()
diff --git a/Lib/test/test_asyncio/test_tasks.py b/Lib/test/test_asyncio/test_tasks.py
index 511961c..74fc1e4 100644
--- a/Lib/test/test_asyncio/test_tasks.py
+++ b/Lib/test/test_asyncio/test_tasks.py
@@ -1120,6 +1120,22 @@
         res = loop.run_until_complete(task)
         self.assertEqual(res, "ok")
 
+    def test_wait_for_cancellation_race_condition(self):
+        def gen():
+            yield 0.1
+            yield 0.1
+            yield 0.1
+            yield 0.1
+
+        loop = self.new_test_loop(gen)
+
+        fut = self.new_future(loop)
+        loop.call_later(0.1, fut.set_result, "ok")
+        task = loop.create_task(asyncio.wait_for(fut, timeout=1))
+        loop.call_later(0.1, task.cancel)
+        res = loop.run_until_complete(task)
+        self.assertEqual(res, "ok")
+
     def test_wait_for_waits_for_task_cancellation(self):
         loop = asyncio.new_event_loop()
         self.addCleanup(loop.close)