Issue #21802: The reader in BufferedRWPair now is closed even when closing

writer failed in BufferedRWPair.close().

Lib/_pyio.py

@@ -1291,8 +1291,10 @@ class BufferedRWPair(BufferedIOBase):
         return self.writer.flush()
 
     def close(self):
-        self.writer.close()
-        self.reader.close()
+        try:
+            self.writer.close()
+        finally:
+            self.reader.close()
 
     def isatty(self):
         return self.reader.isatty() or self.writer.isatty()