[CI] AsyncSearchConcurrentStatusIT testConcurrentStatusFetchWhileTaskCloses failing

[elasticsearchmachine]

Build Scans:

• elasticsearch-periodic #11503 / openjdk25_checkpart2_java-matrix
• elasticsearch-periodic #11499 / adoptopenjdk17_checkpart2_java-matrix
• elasticsearch-intake #31638 / part2
• elasticsearch-intake #31578 / part2
• elasticsearch-periodic #11488 / openjdk21_checkpart2_java-matrix

Reproduction Line:

./gradlew ":x-pack:plugin:async-search:internalClusterTest" --tests "org.elasticsearch.xpack.search.AsyncSearchConcurrentStatusIT.testConcurrentStatusFetchWhileTaskCloses" -Dtests.seed=10D61DCA9F430602 -Dtests.locale=kab -Dtests.timezone=Africa/Johannesburg -Druntime.java=25

Applicable branches:
8.19

Reproduces locally?:
N/A

Failure History:
See dashboard

Failure Message:

java.lang.AssertionError: Consumer thread did not finish within timeout

Issue Reasons:

• [8.19] 5 failures in test testConcurrentStatusFetchWhileTaskCloses (5.0% fail rate in 101 executions)
• [8.19] 2 failures in step part2 (15.4% fail rate in 13 executions)
• [8.19] 3 failures in pipeline elasticsearch-periodic (75.0% fail rate in 4 executions)
• [8.19] 2 failures in pipeline elasticsearch-intake (15.4% fail rate in 13 executions)

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

[elasticsearchmachine]

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