[CI] XPackRestIT test {p0=ml/inference_crud/Test delete given model with alias referenced by pipeline} failing

[elasticsearchmachine]

Build Scans:

• elasticsearch-intake #12324 / part3
• elasticsearch-pull-request #39591 / part-3
• elasticsearch-pull-request #39567 / part-3
• elasticsearch-pull-request #39425 / rest-compatibility
• elasticsearch-pull-request #39275 / part-3

Reproduction Line:

./gradlew ":x-pack:plugin:yamlRestTest" --tests "org.elasticsearch.xpack.test.rest.XPackRestIT.test {p0=ml/inference_crud/Test delete given model with alias referenced by pipeline}" -Dtests.seed=A138620C7CE027FC -Dtests.locale=ru -Dtests.timezone=Universal -Druntime.java=23

Applicable branches:
main

Reproduces locally?:
N/A

Failure History:
See dashboard

Failure Message:

org.elasticsearch.client.ResponseException: method [GET], host [http://[::1]:36243], URI [/_ml/trained_models/_stats?size=10000], status line [HTTP/1.1 500 Internal Server Error]
{"error":{"root_cause":[],"type":"exception","reason":"Searching for stats for models [h-classification-model,d-classification-model,c-classification-model,g-classification-model,i-classification-model,b-classification-model,a-classification-model,lang_ident_model_1,y-classification-model,f-classification-model,k-classification-model,j-classification-model,z-classification-model,a-regression-model-1,a-regression-model-0,e-classification-model] failed","caused_by":{"type":"search_phase_execution_exception","reason":"","phase":"query","grouped":true,"failed_shards":[],"caused_by":{"type":"search_phase_execution_exception","reason":"Search rejected due to missing shards [[.ml-stats-000001][0]]. Consider using `allow_partial_search_results` setting to bypass this error.","phase":"query","grouped":true,"failed_shards":[]}}},"status":500}

Issue Reasons:

• [main] 5 failures in test test {p0=ml/inference_crud/Test delete given model with alias referenced by pipeline} (1.3% fail rate in 400 executions)
• [main] 3 failures in step part-3 (1.9% fail rate in 160 executions)
• [main] 4 failures in pipeline elasticsearch-pull-request (2.5% fail rate in 158 executions)

Note:
This issue was created using new test triage automation. Please report issues or feedback to es-delivery.

[elasticsearchmachine]

This has been muted on branch main

Mute Reasons:

• [main] 5 failures in test test {p0=ml/inference_crud/Test delete given model with alias referenced by pipeline} (1.3% fail rate in 400 executions)
• [main] 3 failures in step part-3 (1.9% fail rate in 160 executions)
• [main] 4 failures in pipeline elasticsearch-pull-request (2.5% fail rate in 158 executions)

Build Scans:

• elasticsearch-intake #12324 / part3
• elasticsearch-pull-request #39591 / part-3
• elasticsearch-pull-request #39567 / part-3
• elasticsearch-pull-request #39425 / rest-compatibility
• elasticsearch-pull-request #39275 / part-3

[jilldoty-elastic]

Closing as specified by #116476.