[CI] TextEmbeddingCrudIT testPutE5Small_withFakeModelVariant failing

[elasticsearchmachine]

Build Scans:

• elasticsearch-periodic-platform-support #4982 / debian-11_platform-support-unix
• elasticsearch-periodic-platform-support #4976 / sles-15_platform-support-unix

Reproduction Line:

./gradlew ':x-pack:plugin:inference:qa:inference-service-tests:javaRestTest' --tests "org.elasticsearch.xpack.inference.TextEmbeddingCrudIT.testPutE5Small_withPlatformSpecificVariant" -Dtests.seed=AEEEDBDCAD506640 -Dtests.locale=om -Dtests.timezone=America/Argentina/San_Luis -Druntime.java=22

Applicable branches:
8.15

Reproduces locally?:
N/A

Failure History:
See dashboard

Failure Message:

java.net.SocketTimeoutException: 60,000 milliseconds timeout on connection http-outgoing-3 [ACTIVE]

Issue Reasons:

• [8.15] 2 failures in test testPutE5Small_withFakeModelVariant (2.1% fail rate in 96 executions)
• [8.15] 2 failures in pipeline elasticsearch-periodic-platform-support (50.0% fail rate in 4 executions)

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

[elasticsearchmachine]

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

[davidkyle]

Same as #116140 (comment)