[TEST] Remove flaky checks on snapshot shard stats (#123458)

* Update 10_basic.yml

* Update muted-tests.yml

* Update 10_basic.yml

Author: kkrik-es

muted-tests.yml

@@ -161,9 +161,6 @@ tests:
 - class: org.elasticsearch.oldrepos.OldRepositoryAccessIT
   method: testOldSourceOnlyRepoAccess
   issue: https://github.com/elastic/elasticsearch/issues/120080
-- class: org.elasticsearch.xpack.test.rest.XPackRestIT
-  method: test {p0=snapshot/10_basic/Failed to snapshot indices with synthetic source}
-  issue: https://github.com/elastic/elasticsearch/issues/120332
 - class: org.elasticsearch.xpack.ccr.FollowIndexSecurityIT
   method: testCleanShardFollowTaskAfterDeleteFollower
   issue: https://github.com/elastic/elasticsearch/issues/120339

x-pack/plugin/src/yamlRestTest/resources/rest-api-spec/test/snapshot/10_basic.yml

@@ -113,7 +113,10 @@ setup:
         snapshot: test_snapshot_2
         wait_for_completion: true
         body: |
-          { "indices": "test_synthetic" }
+          { 
+            "indices": "test_synthetic",
+            "include_global_state": false
+          }
 
   - match: { snapshot.snapshot: test_snapshot_2 }
   - match: { snapshot.state : PARTIAL }
@@ -130,7 +133,10 @@ setup:
         snapshot: test_snapshot_3
         wait_for_completion: true
         body: |
-          { "indices": "test_*" }
+          { 
+            "indices": "test_*",
+            "include_global_state": false
+          }
 
   - match: { snapshot.snapshot: test_snapshot_3 }
   - match: { snapshot.state : PARTIAL }