_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
);
            mappings.put(LABEL_POSITION_FIELD_NAME, labelsMap);
            searchRequestBuilder.addFetchField(LABEL_POSITION_FIELD_NAME);
            runtimeMappings = mappings;
        }
        searchRequestBuilder.setRuntimeMappings(runtimeMappings);
        
        final Rectangle boxFilter = request.getGridAgg().bufferTile(request.getBoundingBox(), request.getZ(), request.getGridPrecision());
        QueryBuilder qBuilder = QueryBuilders.geoShapeQuery(request.getField(), boxFilter);
        if (request.getQueryBuilder() != null) {
            final BoolQueryBuilder boolQueryBuilder = QueryBuilders.boolQuery();
            boolQueryBuilder.filter(request.getQueryBuilder());
            boolQueryBuilder.filter(qBuilder);
            qBuilder = boolQueryBuilder;
        }
        searchRequestBuilder.setQuery(qBuilder);
        if (request.getGridPrecision() > 0) {
            final GeoBoundingBox boundingBox;
            if (request.getGridAgg().needsBounding(request.getZ(), request.getGridPrecision())) {
                final Rectangle rectangle = request.getBoundingBox();
                boundingBox = new GeoBoundingBox(
                    new GeoPoint(rectangle.getMaxLat(), rectangle.getMinLon()),
                    new GeoPoint(rectangle.getMinLat(), rectangle.getMaxLon())
                );
            } else {
                
                boundingBox = new GeoBoundingBox(new GeoPoint(Double.NaN, Double.NaN), new GeoPoint(Double.NaN, Double.NaN));
            }
            final GeoGridAggregationBuilder tileAggBuilder = request.getGridAgg()
                .newAgg(GRID_FIELD)