ElasticSearch - Ordering aggregation by nested aggregation on nested field

{
  "query": {
    "match_all": {}
  },
  "from": 0,
  "size": 0,
  "aggs": {
    "itineraryId": {
      "terms": {
        "field": "iid",
        "size": 2147483647,
        "order": [
          {
            "price>price>price.max": "desc"
          }
        ]
      },
      "aggs": {
        "duration": {
          "stats": {
            "field": "drn"
          }
        },
        "price": {
          "nested": {
            "path": "prl"
          },
          "aggs": {
            "price": {
              "filter": {
                "terms": {
                  "prl.cc.keyword": [
                    "USD"
                  ]
                }
              },
              "aggs": {
                "price": {
                  "stats": {
                    "field": "prl.spl.vl"
                  }
                }
              }
            }
          }
        }
      }
    }
  }
}

Here, I am getting the error:

"Invalid terms aggregation order path [price>price>price.max]. Terms buckets can only be sorted on a sub-aggregator path that is built out of zero or more single-bucket aggregations within the path and a final single-bucket or a metrics aggregation at the path end. Sub-path [price] points to non single-bucket aggregation"

query works fine if I order by duration aggregation like

"order": [
      {
        "duration.max": "desc"
      }

So is there any way to Order aggregation by nested aggregation on nested field i.e something like below ?

"order": [
      {
        "price>price>price.max": "desc"
      }