[CI] TextEmbeddingQueryIT testSearchWithMissingModel failing

[elasticsearchmachine]

Build Scans:

• elasticsearch-periodic #8600 / concurrent-search-tests
• elasticsearch-periodic-platform-support #8610 / ubuntu-2404-aarch64_checkpart4_platform-support-arm

Reproduction Line:

./gradlew ":x-pack:plugin:ml:qa:native-multi-node-tests:javaRestTest" --tests "org.elasticsearch.xpack.ml.integration.TextEmbeddingQueryIT.testSearchWithMissingModel" -Dtests.seed=61C0120329C0BE07 -Dtests.jvm.argline="-Des.concurrent_search=true" -Dtests.locale=ff-Adlm-GM -Dtests.timezone=Asia/Barnaul -Druntime.java=24

Applicable branches:
main

Reproduces locally?:
N/A

Failure History:
See dashboard

Failure Message:

org.elasticsearch.client.WarningFailureException: method [PUT], host [http://[::1]:41669], URI [_cluster/settings], status line [HTTP/1.1 200 OK]
Warnings: [Index [.ml-stats-000001] name begins with a dot (.), which is deprecated, and will not be allowed in a future Elasticsearch version.]
{"acknowledged":true,"persistent":{},"transient":{}}

Issue Reasons:

• [main] 2 failures in test testSearchWithMissingModel (0.9% fail rate in 219 executions)

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

[elasticsearchmachine]

Pinging @elastic/es-search (Team:Search)

[elasticsearchmachine]

Pinging @elastic/ml-core (Team:ML)

[davidkyle]

Closed by #135171