diff --git a/muted-tests.yml b/muted-tests.yml
index 8299efa7336f5..aa0f3ac3e9efb 100644
--- a/muted-tests.yml
+++ b/muted-tests.yml
@@ -425,24 +425,9 @@ tests:
 - class: org.elasticsearch.discovery.ec2.DiscoveryEc2AvailabilityZoneAttributeNoImdsIT
   method: testAvailabilityZoneAttribute
   issue: https://github.com/elastic/elasticsearch/issues/118564
-- class: org.elasticsearch.xpack.esql.qa.mixed.MixedClusterEsqlSpecIT
-  method: test {grok.OverwriteName SYNC}
-  issue: https://github.com/elastic/elasticsearch/issues/118631
-- class: org.elasticsearch.xpack.esql.qa.mixed.MixedClusterEsqlSpecIT
-  method: test {stats.ByStringAndLongWithAlias SYNC}
-  issue: https://github.com/elastic/elasticsearch/issues/118632
-- class: org.elasticsearch.xpack.esql.qa.mixed.MixedClusterEsqlSpecIT
-  method: test {dissect.OverwriteNameWhere SYNC}
-  issue: https://github.com/elastic/elasticsearch/issues/118633
 - class: org.elasticsearch.xpack.searchablesnapshots.RetrySearchIntegTests
   method: testRetryPointInTime
   issue: https://github.com/elastic/elasticsearch/issues/118514
-- class: org.elasticsearch.xpack.esql.qa.mixed.MixedClusterEsqlSpecIT
-  method: test {grok.OverwriteNameWhere SYNC}
-  issue: https://github.com/elastic/elasticsearch/issues/118638
-- class: org.elasticsearch.xpack.esql.qa.mixed.MixedClusterEsqlSpecIT
-  method: test {dissect.OverwriteName SYNC}
-  issue: https://github.com/elastic/elasticsearch/issues/118667
 - class: org.elasticsearch.xpack.esql.qa.mixed.MixedClusterEsqlSpecIT
   method: test {stats.ByDateAndKeywordAndIntWithAlias SYNC}
   issue: https://github.com/elastic/elasticsearch/issues/118668
diff --git a/x-pack/plugin/esql/qa/testFixtures/src/main/resources/dissect.csv-spec b/x-pack/plugin/esql/qa/testFixtures/src/main/resources/dissect.csv-spec
index 38f09d2e3c56e..cde5427bf37d6 100644
--- a/x-pack/plugin/esql/qa/testFixtures/src/main/resources/dissect.csv-spec
+++ b/x-pack/plugin/esql/qa/testFixtures/src/main/resources/dissect.csv-spec
@@ -223,7 +223,8 @@ null               | null      | null
 ;
 
 
-overwriteName
+// the query is incorrectly physically plan (fails the verification) in pre-8.13.0 versions
+overwriteName#[skip:-8.12.99]
 from employees | sort emp_no asc | eval full_name = concat(first_name, " ", last_name) | dissect full_name "%{emp_no} %{b}" | keep full_name, emp_no, b | limit 3;
 
 full_name:keyword | emp_no:keyword | b:keyword
@@ -244,7 +245,8 @@ emp_no:integer | first_name:keyword | rest:keyword
 ;
 
 
-overwriteNameWhere
+// the query is incorrectly physically plan (fails the verification) in pre-8.13.0 versions
+overwriteNameWhere#[skip:-8.12.99]
 from employees | sort emp_no asc | eval full_name = concat(first_name, " ", last_name) | dissect full_name "%{emp_no} %{b}" | where emp_no == "Bezalel" | keep full_name, emp_no, b | limit 3;
 
 full_name:keyword | emp_no:keyword | b:keyword
diff --git a/x-pack/plugin/esql/qa/testFixtures/src/main/resources/grok.csv-spec b/x-pack/plugin/esql/qa/testFixtures/src/main/resources/grok.csv-spec
index 98c88d06caa75..eece1bdfbffa4 100644
--- a/x-pack/plugin/esql/qa/testFixtures/src/main/resources/grok.csv-spec
+++ b/x-pack/plugin/esql/qa/testFixtures/src/main/resources/grok.csv-spec
@@ -199,7 +199,8 @@ null               | null      | null
 ;
 
 
-overwriteName
+// the query is incorrectly physically plan (fails the verification) in pre-8.13.0 versions
+overwriteName#[skip:-8.12.99]
 from employees | sort emp_no asc | eval full_name = concat(first_name, " ", last_name) | grok full_name "%{WORD:emp_no} %{WORD:b}" | keep full_name, emp_no, b | limit 3;
 
 full_name:keyword | emp_no:keyword | b:keyword
@@ -209,7 +210,8 @@ Parto Bamford     | Parto          | Bamford
 ;
 
 
-overwriteNameWhere
+// the query is incorrectly physically plan (fails the verification) in pre-8.13.0 versions
+overwriteNameWhere#[skip:-8.12.99]
 from employees | sort emp_no asc | eval full_name = concat(first_name, " ", last_name) | grok full_name "%{WORD:emp_no} %{WORD:b}" | where emp_no == "Bezalel" | keep full_name, emp_no, b | limit 3;
 
 full_name:keyword | emp_no:keyword | b:keyword
diff --git a/x-pack/plugin/esql/qa/testFixtures/src/main/resources/stats.csv-spec b/x-pack/plugin/esql/qa/testFixtures/src/main/resources/stats.csv-spec
index 6e0a55655ee1c..add6f18887464 100644
--- a/x-pack/plugin/esql/qa/testFixtures/src/main/resources/stats.csv-spec
+++ b/x-pack/plugin/esql/qa/testFixtures/src/main/resources/stats.csv-spec
@@ -564,7 +564,8 @@ c:long | gender:keyword | trunk_worked_seconds:long
  0     | null           | 200000000
 ;
 
-byStringAndLongWithAlias
+// the query is incorrectly physically plan (fails the verification) in pre-8.13.0 versions
+byStringAndLongWithAlias#[skip:-8.12.99]
 FROM employees
 | EVAL trunk_worked_seconds = avg_worked_seconds / 100000000 * 100000000
 | RENAME  gender as g, trunk_worked_seconds as tws