diff --git a/.github/config/muted_ya.txt b/.github/config/muted_ya.txt
index f43771c43956..235790a85df4 100644
--- a/.github/config/muted_ya.txt
+++ b/.github/config/muted_ya.txt
@@ -48,7 +48,6 @@ ydb/core/quoter/ut QuoterWithKesusTest.KesusRecreation
 ydb/core/quoter/ut QuoterWithKesusTest.PrefetchCoefficient
 ydb/core/statistics/aggregator/ut AnalyzeColumnshard.AnalyzeRebootColumnShard
 ydb/core/tx/datashard/ut_incremental_backup IncrementalBackup.ComplexRestoreBackupCollection+WithIncremental
-ydb/core/tx/schemeshard/ut_export_reboots_s3 TExportToS3WithRebootsTests.CancelShouldSucceedOnManyTables
 ydb/core/tx/schemeshard/ut_export_reboots_s3 TExportToS3WithRebootsTests.ShouldSucceedOnManyTables
 ydb/core/tx/schemeshard/ut_login_large TSchemeShardLoginLargeTest.RemoveLogin_Many
 ydb/core/tx/schemeshard/ut_move_reboots TSchemeShardMoveRebootsTest.WithData
diff --git a/ydb/core/tx/schemeshard/schemeshard_export__create.cpp b/ydb/core/tx/schemeshard/schemeshard_export__create.cpp
index 06a11c1a9d2f..0bf789cf4aff 100644
--- a/ydb/core/tx/schemeshard/schemeshard_export__create.cpp
+++ b/ydb/core/tx/schemeshard/schemeshard_export__create.cpp
@@ -554,6 +554,18 @@ struct TSchemeShard::TExport::TTxProgress: public TSchemeShard::TXxport::TTxBase
         Send(Self->TxAllocatorClient, new TEvTxAllocatorClient::TEvAllocate(), 0, exportInfo->Id);
     }
 
+    void PrepareAutoDropping(TSchemeShard* ss, TExportInfo::TPtr exportInfo, NIceDb::TNiceDb& db) {
+        bool isContinued = false;
+        PrepareDropping(ss, exportInfo, db, TExportInfo::EState::AutoDropping, [&](ui64 itemIdx) {
+            exportInfo->PendingDropItems.push_back(itemIdx);
+            isContinued = true;
+            AllocateTxId(exportInfo);
+        });
+        if (!isContinued) {
+            AllocateTxId(exportInfo);
+        }
+    }
+
     void SubscribeTx(TTxId txId) {
         Send(Self->SelfId(), new TEvSchemeShard::TEvNotifyTxCompletion(ui64(txId)));
     }
@@ -1146,8 +1158,7 @@ struct TSchemeShard::TExport::TTxProgress: public TSchemeShard::TXxport::TTxBase
             Self->PersistExportItemState(db, exportInfo, itemIdx);
 
             if (AllOf(exportInfo->Items, &TExportInfo::TItem::IsDone)) {
-                PrepareDropping(Self, exportInfo, db, true);
-                AllocateTxId(exportInfo);
+                PrepareAutoDropping(Self, exportInfo, db);
             }
         } else if (exportInfo->State == EState::Cancellation) {
             item.State = EState::Cancelled;
@@ -1347,8 +1358,7 @@ struct TSchemeShard::TExport::TTxProgress: public TSchemeShard::TXxport::TTxBase
                 }
             }
             if (!itemHasIssues && AllOf(exportInfo->Items, &TExportInfo::TItem::IsDone)) {
-                PrepareDropping(Self, exportInfo, db, true);
-                AllocateTxId(exportInfo);
+                PrepareAutoDropping(Self, exportInfo, db);
             }
 
             Self->PersistExportItemState(db, exportInfo, itemIdx);
@@ -1365,7 +1375,7 @@ struct TSchemeShard::TExport::TTxProgress: public TSchemeShard::TXxport::TTxBase
                 item.WaitTxId = InvalidTxId;
                 Self->PersistExportItemState(db, exportInfo, itemIdx);
 
-                if (exportInfo->AllItemsAreDropped() || exportInfo->State == EState::AutoDropping) {
+                if (exportInfo->AllItemsAreDropped()) {
                     AllocateTxId(exportInfo);
                 }
             } else {
diff --git a/ydb/core/tx/schemeshard/schemeshard_export_flow_proposals.cpp b/ydb/core/tx/schemeshard/schemeshard_export_flow_proposals.cpp
index 22ca33b0d24d..33d3c1ff0db1 100644
--- a/ydb/core/tx/schemeshard/schemeshard_export_flow_proposals.cpp
+++ b/ydb/core/tx/schemeshard/schemeshard_export_flow_proposals.cpp
@@ -328,9 +328,17 @@ TString ExportItemPathName(const TString& exportPathName, ui32 itemIdx) {
     return TStringBuilder() << exportPathName << "/" << itemIdx;
 }
 
-void PrepareDropping(TSchemeShard* ss, TExportInfo::TPtr exportInfo, NIceDb::TNiceDb& db, bool isAutoDropping) {
+void PrepareDropping(
+        TSchemeShard* ss,
+        TExportInfo::TPtr exportInfo,
+        NIceDb::TNiceDb& db,
+        TExportInfo::EState droppingState,
+        std::function<void(ui64)> func)
+{
+    Y_ABORT_UNLESS(IsIn({TExportInfo::EState::AutoDropping, TExportInfo::EState::Dropping}, droppingState));
+
     exportInfo->WaitTxId = InvalidTxId;
-    exportInfo->State = isAutoDropping ? TExportInfo::EState::AutoDropping : TExportInfo::EState::Dropping;
+    exportInfo->State = droppingState;
     ss->PersistExportState(db, exportInfo);
 
     for (ui32 itemIdx : xrange(exportInfo->Items.size())) {
@@ -341,8 +349,8 @@ void PrepareDropping(TSchemeShard* ss, TExportInfo::TPtr exportInfo, NIceDb::TNi
         const TPath itemPath = TPath::Resolve(ExportItemPathName(ss, exportInfo, itemIdx), ss);
         if (itemPath.IsResolved() && !itemPath.IsDeleted()) {
             item.State = TExportInfo::EState::Dropping;
-            if (isAutoDropping) {
-                exportInfo->PendingDropItems.push_back(itemIdx);
+            if (exportInfo->State == TExportInfo::EState::AutoDropping) {
+                func(itemIdx);
             }
         }
 
@@ -350,5 +358,9 @@ void PrepareDropping(TSchemeShard* ss, TExportInfo::TPtr exportInfo, NIceDb::TNi
     }
 }
 
+void PrepareDropping(TSchemeShard* ss, TExportInfo::TPtr exportInfo, NIceDb::TNiceDb& db) {
+    PrepareDropping(ss, exportInfo, db, TExportInfo::EState::Dropping, [](ui64){});
+}
+
 } // NSchemeShard
 } // NKikimr
diff --git a/ydb/core/tx/schemeshard/schemeshard_export_flow_proposals.h b/ydb/core/tx/schemeshard/schemeshard_export_flow_proposals.h
index c6f7b5aaa342..97f9d18e33e1 100644
--- a/ydb/core/tx/schemeshard/schemeshard_export_flow_proposals.h
+++ b/ydb/core/tx/schemeshard/schemeshard_export_flow_proposals.h
@@ -47,7 +47,9 @@ THolder<TEvSchemeShard::TEvCancelTx> CancelPropose(
 TString ExportItemPathName(TSchemeShard* ss, const TExportInfo::TPtr exportInfo, ui32 itemIdx);
 TString ExportItemPathName(const TString& exportPathName, ui32 itemIdx);
 
-void PrepareDropping(TSchemeShard* ss, TExportInfo::TPtr exportInfo, NIceDb::TNiceDb& db, bool isAutoDropping = false); 
+void PrepareDropping(TSchemeShard* ss, TExportInfo::TPtr exportInfo, NIceDb::TNiceDb& db,
+    TExportInfo::EState droppingState, std::function<void(ui64)> func);
+void PrepareDropping(TSchemeShard* ss, TExportInfo::TPtr exportInfo, NIceDb::TNiceDb& db); 
 
 } // NSchemeShard
 } // NKikimr
diff --git a/ydb/core/tx/schemeshard/ut_export/ut_export.cpp b/ydb/core/tx/schemeshard/ut_export/ut_export.cpp
index 4534fc6d2546..3974307eda4d 100644
--- a/ydb/core/tx/schemeshard/ut_export/ut_export.cpp
+++ b/ydb/core/tx/schemeshard/ut_export/ut_export.cpp
@@ -1264,7 +1264,7 @@ partitioning_settings {
         TTestEnv env(runtime);
         ui64 txId = 100;
 
-        TBlockEvents<NKikimr::NWrappers::NExternalStorage::TEvPutObjectRequest> blockPartition0(runtime, [](auto&& ev) {
+        TBlockEvents<NKikimr::NWrappers::NExternalStorage::TEvPutObjectRequest> blockPartition01(runtime, [](auto&& ev) {
             return ev->Get()->Request.GetKey() == "/data_01.csv";
         });
 
@@ -1300,7 +1300,7 @@ partitioning_settings {
         )", port));
         
 
-        runtime.WaitFor("put object request from 01 partition", [&]{ return blockPartition0.size() >= 1; });
+        runtime.WaitFor("put object request from 01 partition", [&]{ return blockPartition01.size() >= 1; });
         bool isCompleted = false;
 
         while (!isCompleted) {
@@ -1318,8 +1318,8 @@ partitioning_settings {
             }
         }
 
-        blockPartition0.Stop();
-        blockPartition0.Unblock();
+        blockPartition01.Stop();
+        blockPartition01.Unblock();
         
         env.TestWaitNotification(runtime, txId);