### Elasticsearch Version

8.10.3

### Installed Plugins

_No response_

### Java Version

_bundled_

### OS Version

docker

### Problem Description

Cannot sort by field if there are blank values
{
  "name": "es-1-master-2",
  "cluster_name": "es-1",
  "cluster_uuid": "kQ8-xy6FQeqjR8Zmc_a9HQ",
  "version": {
    "number": "8.10.3",
    "build_flavor": "default",
    "build_type": "docker",
    "build_hash": "c63272efed16b5a1c25f3ce500715b7fddf9a9fb",
    "build_date": "2023-10-05T10:15:55.152563867Z",
    "build_snapshot": false,
    "lucene_version": "9.7.0",
    "minimum_wire_compatibility_version": "7.17.0",
    "minimum_index_compatibility_version": "7.0.0"
  },
  "tagline": "You Know, for Search"
}

### Steps to Reproduce

Steps to recreate issue.
From kibana add sample data sets ['Sample flight data','Sample eCommerce orders']
Create dataview
name:test
index patter:kibana_*
timefield: --- I don't want to use the time filter ---

From discover sort by AvgTicketPrice, or run query
```
POST kibana_*/_search
{
    "sort": [
        {
            "AvgTicketPrice": {
                "order": "desc",
                "unmapped_type": "boolean"
            }
        }
    ],
    "fields": [
        {
            "field": "*",
            "include_unmapped": "true"
        }
    ],
    "size": 500
}
```
Can't sort on field [AvgTicketPrice]; the field has incompatible sort types: [LONG] and [FLOAT] across shards!

### Logs (if relevant)

_No response_
server/src/internalClusterTest/java/org/elasticsearch/search/sort/FieldSortIT.java
scripts.put("doc['keyword'].value", vars -> sortStringScript(vars));
            return scripts;
        }
        static Double sortDoubleScript(Map<String, Object> vars) {
            Map<?, ?> doc = (Map) vars.get("doc");
            Double index = ((Number) ((ScriptDocValues<?>) doc.get("number")).get(0)).doubleValue();
            return index;
        }
        static String sortStringScript(Map<String, Object> vars) {
            Map<?, ?> doc = (Map) vars.get("doc");
            String value = ((String) ((ScriptDocValues<?>) doc.get("keyword")).get(0));
            return value;
        }
    }
    @Override
    protected Collection<Class<? extends Plugin>> nodePlugins() {
        return Arrays.asList(InternalSettingsPlugin.class, CustomScriptPlugin.class);
    }
    public void testIssue8226() {
        int numIndices = between(5, 10);
        final boolean useMapping = randomBoolean();
        for (int i = 0; i < numIndices; i++) {
            if (useMapping) {
                assertAcked(prepareCreate("test_" + i).addAlias(new Alias("test")).setMapping("entry", "type=long"));
            } else {
                assertAcked(prepareCreate("test_" + i).addAlias(new Alias("test")));
            }
            if (i > 0) {
                prepareIndex("test_" + i).setId("" + i).setSource("{\"entry\": " + i + "}", XContentType.JSON).get();
            }