[BUG] Bucket aggregation fails after upgrading from 2.11 to 2.13 in BestBucketsDifferingCollector

Describe the bug

After upgrading from 2.11 to 2.13, bucket aggregations queries that previously worked with terminate_after fail with

{"error":{"root_cause":[{"type":"illegal_state_exception","reason":"Cannot replay yet, collection is not finished: postCollect() has not been called"}],"type":"search_phase_execution_exception","reason":"all shards failed","phase":"query","grouped":true,"failed_shards":[{"shard":0,"index":"all_contexts4","node":"7pWVZteZQ9O-_vNCrFhj1Q","reason":{"type":"illegal_state_exception","reason":"Cannot replay yet, collection is not finished: postCollect() has not been called"}}],"caused_by":{"type":"illegal_state_exception","reason":"Cannot replay yet, collection is not finished: postCollect() has not been called","caused_by":{"type":"illegal_state_exception","reason":"Cannot replay yet, collection is not finished: postCollect() has not been called"}}},"status":500}

This is most likely coming from the changes made here https://github.com/opensearch-project/OpenSearch/pull/11421/files#diff-ce7faa9058609579cb9a555e07b5dda7699aef192a9a6252c0fcd0bdee9ff6ebR106

Related component

Search:Aggregations

To Reproduce

example query

"aggs": {
        "header": {
            "terms": {
                "field": "field1",
                "size": 100
            },
            "aggs": {
                "attributes": {
                    "nested": {
                        "path": "header2"
                    },
                    "aggs": {
                        "attribute_name_filter": {
                            "filter": {
                                "prefix": {
                                    "header3": {
                                        "value": "value1",
                                        "case_insensitive": true
                                    }
                                }
                            },
                        }
                    }
                }
            }
        }
    }

Expected behavior

Expected behavior is that the query works as it did in 2.11

Additional Details

Plugins
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Screenshots
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Host/Environment (please complete the following information):

• OS: [e.g. iOS]
• Version [e.g. 22]

Additional context
Add any other context about the problem here.

Start by reviewing BestBucketsDifferingCollector and the changes in pull request 11421, then reproduce the failure with the provided bucket aggregation query and terminate_after after upgrading from 2.11 to 2.13. Done means the query completes successfully without the “Cannot replay yet” exception and preserves the behavior from 2.11.