[+DOC] ILM Move Step example only phase (#90329)

* [+DOC] ILM Move Step example only phase

Updates [doc](https://www.elastic.co/guide/en/elasticsearch/reference/master/ilm-move-to-step.html?edit) to append example similar to #75435 (≥v7.15.0) to show users working example of only using `next_step.phase`.

* Move example to the end of the page

* Fix failing code snippet tests

Co-authored-by: Abdon Pijpelink <[email protected]>

Author: stefnestor

docs/reference/ilm/apis/move-to-step.asciidoc

@@ -96,11 +96,11 @@ The name of the phase that contains the action you want to perform or resume.
 
 `action`::
 (Optional, string)
-The name action you want to perform or resume. 
+The name action you want to perform or resume. Required if `name` used.
 
 `name`::
 (Optional, string)
-The name of the step to move to and execute. 
+The name of the step to move to and execute. Required if `action` used.
 
 ====
 
@@ -176,6 +176,56 @@ If the request succeeds, you receive the following result:
   "acknowledged": true
 }
 --------------------------------------------------
+// TEST[continued]
 
 The request will fail if the index is not in the `new` phase as specified
 by the `current_step`.
+
+The following example pushes `my-index-000001` from the end of hot phase into
+the start of warm:
+
+////
+[source,console]
+----
+DELETE my-index-000001
+
+PUT _ilm/policy/my_policy
+{
+  "policy": {
+    "phases": {
+      "hot": {
+        "actions": {}
+      },
+      "warm": {
+        "min_age": "10d",
+        "actions": {}
+      }
+    }
+  }
+}
+
+PUT my-index-000001
+{
+  "settings": {
+    "index.lifecycle.name": "my_policy"
+  }
+}
+----
+// TEST[continued]
+////
+
+[source,console]
+--------------------------------------------------
+POST _ilm/move/my-index-000001
+{
+  "current_step": {
+    "phase": "hot",
+    "action": "complete",
+    "name": "complete"
+  },
+  "next_step": {
+    "phase": "warm"
+  }
+}
+--------------------------------------------------
+// TEST[continued]