_mvt endpoint does not include cross cluster prefix with `_index` value. For example, `_index` returns `myIndexPattern` instead of expected `cluster_one:myIndexPattern`. _search endpoint includes cross cluster prefix with `_index` value. This is causing problems in [Kibana maps tooltips](https://github.com/elastic/kibana/issues/153210)
x-pack/plugin/vector-tile/src/main/java/org/elasticsearch/xpack/vectortile/rest/RestVectorTileAction.java
featureBuilder.clear();
                featureBuilder.mergeFrom((byte[]) feature);
                VectorTileUtils.addPropertyToFeature(featureBuilder, layerProps, ID_TAG, searchHit.getId());
                VectorTileUtils.addPropertyToFeature(featureBuilder, layerProps, INDEX_TAG, searchHit.getIndex());
                addHitsFields(featureBuilder, layerProps, requestField, fields);
                hitsLayerBuilder.addFeatures(featureBuilder);
            }
            if (request.getWithLabels()) {
                final DocumentField labelField = searchHit.field(LABEL_POSITION_FIELD_NAME);
                if (labelField != null) {
                    Object labelPosValue = labelField.getValue();
                    GeoPoint labelPos = GeoUtils.parseGeoPoint(labelPosValue, true);
                    byte[] labelPosFeature = featureFactory.point(labelPos.lon(), labelPos.lat());
                    if (labelPosFeature != null && labelPosFeature.length != 0) {
                        featureBuilder.clear();
                        featureBuilder.mergeFrom(labelPosFeature);
                        VectorTileUtils.addPropertyToFeature(featureBuilder, layerProps, ID_TAG, searchHit.getId());
                        VectorTileUtils.addPropertyToFeature(featureBuilder, layerProps, INDEX_TAG, searchHit.getIndex());
                        VectorTileUtils.addPropertyToFeature(featureBuilder, layerProps, LABEL_POSITION_FIELD_NAME, true);
                        addHitsFields(featureBuilder, layerProps, requestField, fields);
                        hitsLayerBuilder.addFeatures(featureBuilder);
                    }
                }
            }
        }
        VectorTileUtils.addPropertiesToLayer(hitsLayerBuilder, layerProps);
        return hitsLayerBuilder;
    }
    private static void addHitsFields(
        final VectorTile.Tile.Feature.Builder featureBuilder,