Fix data stream retrieval in DataStreamAndIndexLifecycleMixingTests (elastic#125609)

These tests had the potential to fail when two consecutive GET data
streams requests would hit two different nodes, where one node already
had the cluster state that contained the new backing index and the other
node didn't yet.

Caused by elastic#122852

Fixes elastic#124837
Fixes elastic#124849
Fixes elastic#124850
Fixes elastic#124886
Fixes elastic#125083

Author: nielsbauman

muted-tests.yml

@@ -324,21 +324,9 @@ tests:
 - class: org.elasticsearch.common.metrics.ExponentiallyWeightedMovingRateTests
   method: testEwmr_threadSafe
   issue: https://github.com/elastic/elasticsearch/issues/124692
-- class: org.elasticsearch.xpack.ilm.DataStreamAndIndexLifecycleMixingTests
-  method: testUpdateIndexTemplateToDataStreamLifecyclePreference
-  issue: https://github.com/elastic/elasticsearch/issues/124837
 - class: org.elasticsearch.backwards.MixedClusterClientYamlTestSuiteIT
   method: test {p0=search.vectors/41_knn_search_bbq_hnsw/Test knn search}
   issue: https://github.com/elastic/elasticsearch/issues/124848
-- class: org.elasticsearch.xpack.ilm.DataStreamAndIndexLifecycleMixingTests
-  method: testUpdateIndexTemplateToMigrateFromDataStreamLifecycleToIlm
-  issue: https://github.com/elastic/elasticsearch/issues/124849
-- class: org.elasticsearch.xpack.ilm.DataStreamAndIndexLifecycleMixingTests
-  method: testUpdateIndexTemplateFromILMtoBothILMAndDataStreamLifecycle
-  issue: https://github.com/elastic/elasticsearch/issues/124850
-- class: org.elasticsearch.xpack.ilm.DataStreamAndIndexLifecycleMixingTests
-  method: testIndexTemplateSwapsILMForDataStreamLifecycle
-  issue: https://github.com/elastic/elasticsearch/issues/124886
 - class: org.elasticsearch.packaging.test.BootstrapCheckTests
   method: test20RunWithBootstrapChecks
   issue: https://github.com/elastic/elasticsearch/issues/124940
@@ -360,9 +348,6 @@ tests:
 - class: org.elasticsearch.packaging.test.DockerTests
   method: test011SecurityEnabledStatus
   issue: https://github.com/elastic/elasticsearch/issues/124990
-- class: org.elasticsearch.xpack.ilm.DataStreamAndIndexLifecycleMixingTests
-  method: testGetDataStreamResponse
-  issue: https://github.com/elastic/elasticsearch/issues/125083
 - class: org.elasticsearch.packaging.test.DockerTests
   method: test012SecurityCanBeDisabled
   issue: https://github.com/elastic/elasticsearch/issues/116636