RecoveryDuringReplicationTests.testDoNotWaitForPendingSeqNo failed

[tlrx]

The test RecoveryDuringReplicationTests.testDoNotWaitForPendingSeqNo() failed on CI:
https://elasticsearch-ci.elastic.co/job/elastic+elasticsearch+master+matrix-java-periodic/ES_BUILD_JAVA=java11,ES_RUNTIME_JAVA=java11,nodes=immutable&&linux&&docker/267/consoleFull

It does not reproduce with:

./gradlew :server:unitTest \
  -Dtests.seed=F8E8B6147433686D \
  -Dtests.class=org.elasticsearch.index.replication.RecoveryDuringReplicationTests \
  -Dtests.security.manager=true \
  -Dtests.locale=en-US \
  -Dtests.timezone=UTC \
  -Dcompiler.java=11 \
  -Druntime.java=11

Relevant log:
consoleText.txt

[elasticmachine]

Pinging @elastic/es-distributed

[gwbrown]

Failed again today https://elasticsearch-ci.elastic.co/job/elastic+elasticsearch+7.x+periodic/137/console

Looks like it fails ~1-3 times/day

[dnhatn]

I opened #39595.