Clear failed state in always only if we did rescue (#52829)

Fixes #52561

changelogs/fragments/52561-fix-handlers-on-failed-hosts-with-always-section.yaml

@@ -0,0 +1,2 @@
+bugfixes:
+  - Fix handlers on failed hosts with always section (https://github.com/ansible/ansible/issues/52561)

lib/ansible/executor/play_iterator.py

@@ -484,7 +484,7 @@ class PlayIterator:
         elif state.fail_state != self.FAILED_NONE:
             if state.run_state == self.ITERATING_RESCUE and state.fail_state & self.FAILED_RESCUE == 0:
                 return False
-            elif state.run_state == self.ITERATING_ALWAYS and state.fail_state & self.FAILED_ALWAYS == 0:
+            elif state.run_state == self.ITERATING_ALWAYS and state.fail_state & self.FAILED_ALWAYS == 0 and state.did_rescue:
                 return False
             else:
                 return not state.did_rescue