domain: do not start Auto Analyze Worker until statistics initialization is complete

pkg/domain/domain.go

@@ -2229,9 +2229,26 @@ func (do *Domain) UpdateTableStatsLoop(ctx, initStatsCtx sessionctx.Context) err
 		return nil
 	}
 	do.SetStatsUpdating(true)
+	// The stats updated worker doesn't require the stats initialization to be completed.
+	// This is because the updated worker's primary responsibilities are to update the change delta and handle DDL operations.
+	// These tasks do not interfere with or depend on the initialization process.
 	do.wg.Run(func() { do.updateStatsWorker(ctx, owner) }, "updateStatsWorker")
-	do.wg.Run(func() { do.autoAnalyzeWorker(owner) }, "autoAnalyzeWorker")
-	do.wg.Run(func() { do.analyzeJobsCleanupWorker(owner) }, "analyzeJobsCleanupWorker")
+	// Wait for the stats worker to finish the initialization.
+	// Otherwise, we may start the auto analyze worker before the stats cache is initialized.
+	do.wg.Run(
+		func() {
+			<-do.StatsHandle().InitStatsDone
+			do.autoAnalyzeWorker(owner)
+		},
+		"autoAnalyzeWorker",
+	)
+	do.wg.Run(
+		func() {
+			<-do.StatsHandle().InitStatsDone
+			do.analyzeJobsCleanupWorker(owner)
+		},
+		"analyzeJobsCleanupWorker",
+	)
 	return nil
 }