### 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
b.field("type", "text");
                b.field("copy_to", "very.inner.field");
            }
            b.endObject();
            b.startObject("very");
            {
                b.field("type", "object");
                b.startObject("properties");
                {
                    b.startObject("inner").field("type", "object").endObject();
                }
                b.endObject();
            }
            b.endObject();
        }));
        LuceneDocument doc = docMapper.parse(source(b -> {
            b.field("copy_test", "foo");
            b.startObject("foo");
            {
                b.startObject("bar").field("baz", "zoo").endObject();
            }
            b.endObject();
        })).rootDoc();
        assertThat(doc.getFields("copy_test").length, equalTo(1));
        assertThat(doc.getFields("copy_test")[0].stringValue(), equalTo("foo"));
        assertThat(doc.getFields("very.inner.field").length, equalTo(1));
        assertThat(doc.getFields("very.inner.field")[0].stringValue(), equalTo("foo"));
    }
    public void testCopyToDynamicInnerObjectParsing() throws Exception {
        DocumentMapper docMapper = createDocumentMapper(mapping(b -> {