diff --git a/pkg/tso/allocator_manager.go b/pkg/tso/allocator_manager.go
index a8bc69d5426..61b08599b5c 100644
--- a/pkg/tso/allocator_manager.go
+++ b/pkg/tso/allocator_manager.go
@@ -136,7 +136,6 @@ type AllocatorManager struct {
 	// member is for election use
 	member ElectionMember
 	// TSO config
-	rootPath               string
 	storage                endpoint.TSOStorage
 	saveInterval           time.Duration
 	updatePhysicalInterval time.Duration
diff --git a/pkg/utils/keypath/absolute_key_path.go b/pkg/utils/keypath/absolute_key_path.go
index 5ca3f882996..a3e9fef13ea 100644
--- a/pkg/utils/keypath/absolute_key_path.go
+++ b/pkg/utils/keypath/absolute_key_path.go
@@ -169,6 +169,7 @@ func ExternalTimestampPath() string {
 	return fmt.Sprintf(externalTimestampPathFormat, ClusterID())
 }
 
+// RecoveringMarkPath returns the path to save the recovering mark.
 func RecoveringMarkPath() string {
 	return fmt.Sprintf(recoveringMarkPathFormat, ClusterID())
 }
diff --git a/tests/server/api/scheduler_test.go b/tests/server/api/scheduler_test.go
index 22e84633045..3b41890012d 100644
--- a/tests/server/api/scheduler_test.go
+++ b/tests/server/api/scheduler_test.go
@@ -113,7 +113,7 @@ func (suite *scheduleTestSuite) checkOriginAPI(cluster *tests.TestCluster) {
 
 	suite.assertSchedulerExists(urlPrefix, "evict-leader-scheduler")
 	resp := make(map[string]any)
-	listURL := fmt.Sprintf("%s%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, "evict-leader-scheduler")
+	listURL := fmt.Sprintf("%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, "evict-leader-scheduler")
 	re.NoError(tu.ReadGetJSON(re, tests.TestDialClient, listURL, &resp))
 	re.Len(resp["store-id-ranges"], 1)
 	input1 := make(map[string]any)
@@ -186,7 +186,7 @@ func (suite *scheduleTestSuite) checkAPI(cluster *tests.TestCluster) {
 			name:        "balance-leader-scheduler",
 			createdName: "balance-leader-scheduler",
 			extraTestFunc: func(name string) {
-				listURL := fmt.Sprintf("%s%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
+				listURL := fmt.Sprintf("%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
 				resp := make(map[string]any)
 				tu.Eventually(re, func() bool {
 					re.NoError(tu.ReadGetJSON(re, tests.TestDialClient, listURL, &resp))
@@ -194,7 +194,7 @@ func (suite *scheduleTestSuite) checkAPI(cluster *tests.TestCluster) {
 				})
 				dataMap := make(map[string]any)
 				dataMap["batch"] = 3
-				updateURL := fmt.Sprintf("%s%s%s/%s/config", leaderAddr, server.SchedulerConfigHandlerPath, name)
+				updateURL := fmt.Sprintf("%s%s/%s/config", leaderAddr, server.SchedulerConfigHandlerPath, name)
 				body, err := json.Marshal(dataMap)
 				re.NoError(err)
 				re.NoError(tu.CheckPostJSON(tests.TestDialClient, updateURL, body, tu.StatusOK(re)))
@@ -244,7 +244,7 @@ func (suite *scheduleTestSuite) checkAPI(cluster *tests.TestCluster) {
 			createdName: "balance-hot-region-scheduler",
 			extraTestFunc: func(name string) {
 				resp := make(map[string]any)
-				listURL := fmt.Sprintf("%s%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
+				listURL := fmt.Sprintf("%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
 				expectMap := map[string]any{
 					"min-hot-byte-rate":          100.0,
 					"min-hot-key-rate":           10.0,
@@ -318,7 +318,7 @@ func (suite *scheduleTestSuite) checkAPI(cluster *tests.TestCluster) {
 			name:        "split-bucket-scheduler",
 			createdName: "split-bucket-scheduler",
 			extraTestFunc: func(name string) {
-				listURL := fmt.Sprintf("%s%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
+				listURL := fmt.Sprintf("%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
 				resp := make(map[string]any)
 				tu.Eventually(re, func() bool {
 					re.NoError(tu.ReadGetJSON(re, tests.TestDialClient, listURL, &resp))
@@ -377,7 +377,7 @@ func (suite *scheduleTestSuite) checkAPI(cluster *tests.TestCluster) {
 			createdName: "balance-witness-scheduler",
 			extraTestFunc: func(name string) {
 				resp := make(map[string]any)
-				listURL := fmt.Sprintf("%s%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
+				listURL := fmt.Sprintf("%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
 				tu.Eventually(re, func() bool {
 					re.NoError(tu.ReadGetJSON(re, tests.TestDialClient, listURL, &resp))
 					return resp["batch"] == 4.0
@@ -434,7 +434,7 @@ func (suite *scheduleTestSuite) checkAPI(cluster *tests.TestCluster) {
 			args:        []arg{{"store_id", 1}},
 			extraTestFunc: func(name string) {
 				resp := make(map[string]any)
-				listURL := fmt.Sprintf("%s%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
+				listURL := fmt.Sprintf("%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
 				expectedMap := make(map[string]any)
 				expectedMap["1"] = []any{map[string]any{"end-key": "", "start-key": ""}}
 				tu.Eventually(re, func() bool {
@@ -478,14 +478,14 @@ func (suite *scheduleTestSuite) checkAPI(cluster *tests.TestCluster) {
 			// Test the scheduler config handler.
 			extraTestFunc: func(name string) {
 				resp := make(map[string]any)
-				listURL := fmt.Sprintf("%s%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
+				listURL := fmt.Sprintf("%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
 				tu.Eventually(re, func() bool {
 					re.NoError(tu.ReadGetJSON(re, tests.TestDialClient, listURL, &resp))
 					return resp["start-key"] == "" && resp["end-key"] == "" && resp["range-name"] == "test"
 				})
 				resp["start-key"] = "a_00"
 				resp["end-key"] = "a_99"
-				updateURL := fmt.Sprintf("%s%s%s/%s/config", leaderAddr, server.SchedulerConfigHandlerPath, name)
+				updateURL := fmt.Sprintf("%s%s/%s/config", leaderAddr, server.SchedulerConfigHandlerPath, name)
 				body, err := json.Marshal(resp)
 				re.NoError(err)
 				re.NoError(tu.CheckPostJSON(tests.TestDialClient, updateURL, body, tu.StatusOK(re)))
@@ -503,7 +503,7 @@ func (suite *scheduleTestSuite) checkAPI(cluster *tests.TestCluster) {
 			// Test the scheduler config handler.
 			extraTestFunc: func(name string) {
 				resp := make(map[string]any)
-				listURL := fmt.Sprintf("%s%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
+				listURL := fmt.Sprintf("%s%s/%s/list", leaderAddr, server.SchedulerConfigHandlerPath, name)
 				expectedMap := make(map[string]any)
 				expectedMap["3"] = []any{map[string]any{"end-key": "", "start-key": ""}}
 				tu.Eventually(re, func() bool {