Replace check for integration tests. (#110707)

* Replace check for integration tests.
* Revert changes in pkg/tsdb/mysql packages.
* Fix formatting of few tests.

pkg/storage/unified/sql/list_iterator_test.go

@@ -19,15 +19,15 @@ import (
 	"github.com/grafana/grafana/pkg/storage/unified/sql/dbutil"
 	"github.com/grafana/grafana/pkg/storage/unified/sql/sqltemplate"
 	"github.com/grafana/grafana/pkg/tests/testsuite"
+	"github.com/grafana/grafana/pkg/util/testutil"
 )
 
 func TestMain(m *testing.M) {
 	testsuite.Run(m)
 }
 func TestIntegrationListIter(t *testing.T) {
-	if testing.Short() {
-		t.Skip("skipping integration test in short mode")
-	}
+	testutil.SkipIntegrationTestInShortMode(t)
+
 	ctx := context.Background()
 
 	grafanaDB := db.InitTestDB(t)

pkg/storage/unified/sql/test/integration_test.go

@@ -35,9 +35,8 @@ func TestMain(m *testing.M) {
 }
 
 func TestIntegrationStorageServer(t *testing.T) {
-	if testing.Short() {
-		t.Skip("skipping integration test in short mode")
-	}
+	testutil.SkipIntegrationTestInShortMode(t)
+
 	unitest.RunStorageServerTest(t, func(ctx context.Context) resource.StorageBackend {
 		dbstore := db.InitTestDB(t)
 		eDB, err := dbimpl.ProvideResourceDB(dbstore, setting.NewCfg(), nil)
@@ -58,9 +57,8 @@ func TestIntegrationStorageServer(t *testing.T) {
 
 // TestStorageBackend is a test for the StorageBackend interface.
 func TestIntegrationSQLStorageBackend(t *testing.T) {
-	if testing.Short() {
-		t.Skip("skipping integration test in short mode")
-	}
+	testutil.SkipIntegrationTestInShortMode(t)
+
 	t.Run("IsHA (polling notifier)", func(t *testing.T) {
 		unitest.RunStorageBackendTest(t, func(ctx context.Context) resource.StorageBackend {
 			dbstore := db.InitTestDB(t)