[DOCS] Update data streams list screenshots and description of "delete data stream" (#67145)

* [DOCS] Updated data streams list screenshots and delete functionality description

* Update docs/reference/data-streams/set-up-a-data-stream.asciidoc

Co-authored-by: James Rodewig <40268737+jrodewig@users.noreply.github.com>

* Update set-up-a-data-stream.asciidoc

Co-authored-by: James Rodewig <40268737+jrodewig@users.noreply.github.com>

docs/reference/data-streams/set-up-a-data-stream.asciidoc

@@ -268,10 +268,11 @@ GET /_data_stream/my-data-stream
 
 To delete a data stream and its backing indices, open the {kib} menu and go to
 *Stack Management > Index Management*. In the *Data Streams* tab, click the
-trash can icon.
+trash icon. The trash icon only displays if you have the `delete_index`
+<<security-privileges, security privilege>> for the data stream.
 
 [role="screenshot"]
-image::images/data-streams/data-streams-list.png[Data Streams tab]
+image::images/data-streams/data-streams-no-delete.png[Data Streams tab]
 
 [%collapsible]
 .API example