Set index mode earlier for new downsample index

Downsample index is created using temporary index service using a
static predefined subset of index settings. All other settings are later
 copied over from source index. As discovered in elastic#106338 this causes
 context like index mode to be missing during initial index creation
 process. This PR adds index mode and related required settings to
 initial set of index settings in order to have access to this
 information during initial create index operation.

Author: lkts

x-pack/plugin/downsample/src/main/java/org/elasticsearch/xpack/downsample/TransportDownsampleAction.java

@@ -805,7 +805,11 @@ private void createDownsampleIndex(
             .put(IndexMetadata.SETTING_NUMBER_OF_REPLICAS, String.valueOf(numberOfReplicas))
             .put(IndexSettings.INDEX_REFRESH_INTERVAL_SETTING.getKey(), "-1")
             .put(IndexMetadata.INDEX_DOWNSAMPLE_STATUS.getKey(), DownsampleTaskStatus.STARTED)
-            .put(IndexMetadata.INDEX_DOWNSAMPLE_INTERVAL.getKey(), downsampleInterval);
+            .put(IndexMetadata.INDEX_DOWNSAMPLE_INTERVAL.getKey(), downsampleInterval)
+            .put(IndexSettings.MODE.getKey(), sourceIndexMetadata.getIndexMode())
+            .putList(IndexMetadata.INDEX_ROUTING_PATH.getKey(), sourceIndexMetadata.getRoutingPaths())
+            .put(IndexSettings.TIME_SERIES_START_TIME.getKey(), sourceIndexMetadata.getSettings().get(IndexSettings.TIME_SERIES_START_TIME.getKey()))
+            .put(IndexSettings.TIME_SERIES_END_TIME.getKey(), sourceIndexMetadata.getSettings().get(IndexSettings.TIME_SERIES_END_TIME.getKey()));
         if (sourceIndexMetadata.getSettings().hasValue(MapperService.INDEX_MAPPING_TOTAL_FIELDS_LIMIT_SETTING.getKey())) {
             builder.put(
                 MapperService.INDEX_MAPPING_TOTAL_FIELDS_LIMIT_SETTING.getKey(),