### Elasticsearch Version

8.2.0

### Installed Plugins

_No response_

### Java Version

_bundled_

### OS Version

docker-image = docker.elastic.co/elasticsearch/elasticsearch:8.2.0

### Problem Description

We are trying to migrate from Elasticsearch 6.7.1 to Elasticsearch 8.2.0.

With the same amount of documents per bulk request (100 docs per request), we always get a socket timeout in Elasticsearch 8.2.0. Everything works fine in Elasticsearch 6.7.1.

I noticed that indexing the same document in Elasticsearch 8.2.0 takes 44152ms. In Elasticsearch 6.7.1, indexing takes 50ms.

### Steps to Reproduce

[elasticsearch_8.2.0.txt](https://github.com/elastic/elasticsearch/files/8754299/elasticsearch_8.2.0.txt)
[elasticsearch_6.7.1.txt](https://github.com/elastic/elasticsearch/files/8754300/elasticsearch_6.7.1.txt)



### Logs (if relevant)

_No response_
server/src/test/java/org/elasticsearch/index/mapper/CopyToMapperTests.java
assertEquals(Arrays.asList("baz", "bar"), fieldMapperAfter.copyTo().copyToFields());
        assertEquals(Arrays.asList("foo", "bar"), fieldMapperBefore.copyTo().copyToFields());
    }
    public void testCopyToNestedField() throws Exception {
        DocumentMapper mapper = createDocumentMapper(mapping(b -> {
            b.startObject("target");
            {
                b.field("type", "long");
                b.field("doc_values", false);
            }
            b.endObject();
            b.startObject("n1");
            {
                b.field("type", "nested");
                b.startObject("properties");
                {
                    b.startObject("target");
                    {
                        b.field("type", "long");
                        b.field("doc_values", false);
                    }
                    b.endObject();
                    b.startObject("n2");
                    {
                        b.field("type", "nested");
                        b.startObject("properties");
                        {
                            b.startObject("target");
                            {
                                b.field("type", "long");