fix pivot block issue for write on chain

api/service/stagedstreamsync/stage_state.go

@@ -55,7 +55,7 @@ func NewStageStatesCfg(
 func (stg *StageStates) Exec(ctx context.Context, firstCycle bool, invalidBlockRevert bool, s *StageState, reverter Reverter, tx kv.RwTx) (err error) {
 	// only execute this stage in full sync mode
 	if s.state.config.SyncMode != FullSync {
-		if s.state.status.pivotBlock != nil && s.state.bc.CurrentBlock().NumberU64() <= s.state.status.pivotBlock.NumberU64() {
+		if s.state.status.pivotBlock != nil && s.state.bc.CurrentBlock().NumberU64() < s.state.status.pivotBlock.NumberU64() {
 			return nil
 		}
 	}

api/service/stagedstreamsync/stage_statesync.go

@@ -113,6 +113,16 @@ func (sss *StageStateSync) Exec(ctx context.Context, bool, invalidBlockRevert bo
 	}
 	wg.Wait()
 
+	// insert block
+	if err := sss.configs.bc.WriteHeadBlock(s.state.status.pivotBlock); err != nil {
+		sss.configs.logger.Warn().Err(err).
+			Uint64("pivot block number", s.state.status.pivotBlock.NumberU64()).
+			Msg(WrapStagedSyncMsg("insert pivot block failed"))
+		s.state.Debug("StateSync/pivot/insert/error", err)
+		// TODO: panic("pivot block is failed to insert in chain.")
+		return err
+	}
+
 	/*
 		gbm := s.state.gbm