Fix timeout for awaiting index existence (#126773)

#126692 allowed consumers to specify a timeout to `awaitIndexExists`,
but that timeout did not get propagated correctly to all the required
places.

Author: nielsbauman

test/framework/src/main/java/org/elasticsearch/test/ESIntegTestCase.java

@@ -1748,8 +1748,12 @@ public static void awaitIndexExists(String index, Client client) {
 
     public static void awaitIndexExists(String index, Client client, TimeValue timeout) {
         assertThat("wildcards not supported", index, allOf(not(Metadata.ALL), not(containsString("*"))));
-        safeGet(
-            client.admin().cluster().prepareHealth(timeout, index).setIndicesOptions(IndicesOptions.LENIENT_EXPAND_OPEN_CLOSED).execute()
+        assertNoTimeout(
+            client.admin()
+                .cluster()
+                .prepareHealth(timeout, index)
+                .setTimeout(timeout)
+                .setIndicesOptions(IndicesOptions.LENIENT_EXPAND_OPEN_CLOSED)
         );
     }