[v9.3.x] Chore: All tests under pkg/tests should be integration tests (#60071)

Chore: All tests under pkg/tests should be integration tests (#59521)

* Chore: All tests under pkg/tests should be integrationtests

* run alerting integration tests only for sqlite

(cherry picked from commit 2db8ed9441)

Co-authored-by: Marcus Efraimsson <marcus.efraimsson@gmail.com>

pkg/tests/testinfra/testinfra.go

@@ -335,6 +335,14 @@ func CreateGrafDir(t *testing.T, opts ...GrafanaOpts) (string, string) {
 	return tmpDir, cfgPath
 }
 
+func SQLiteIntegrationTest(t *testing.T) {
+	t.Helper()
+
+	if testing.Short() || !db.IsTestDbSQLite() {
+		t.Skip("skipping integration test")
+	}
+}
+
 type GrafanaOpts struct {
 	EnableCSP                             bool
 	EnableFeatureToggles                  []string