Add integration test for LOOKUP JOIN on remotes after STATS (#134127)

Author: luigidellaquila

x-pack/plugin/esql/src/internalClusterTest/java/org/elasticsearch/xpack/esql/action/CrossClusterLookupJoinIT.java

@@ -284,6 +284,20 @@ public void testLookupJoinMissingLocalIndex() throws IOException {
         }
     }
 
+    public void testLookupJoinMissingLocalIndexAfterPipelineBreaker() throws IOException {
+        setupClusters(2);
+        populateLookupIndex(REMOTE_CLUSTER_1, "values_lookup", 10);
+
+        expectThrows(
+            VerificationException.class,
+            containsString("LOOKUP JOIN with remote indices can't be executed after [STATS lookup_key = max(lookup_key)]"),
+            () -> runQuery(
+                "FROM c*:logs-* | EVAL lookup_key = v | STATS lookup_key = max(lookup_key) | LOOKUP JOIN values_lookup ON lookup_key",
+                randomBoolean()
+            )
+        );
+    }
+
     public void testLookupJoinMissingKey() throws IOException {
         setupClusters(2);
         populateLookupIndex(LOCAL_CLUSTER, "values_lookup", 10);