feat: complete remaining Go backend modules

backend/internal/postgres/database_test.go

@@ -33,6 +33,28 @@ func TestReadinessSQLFreezesPrivilegeMatrixAndFunctionSignatures(t *testing.T) {
 	}
 }
 
+func TestReadinessSQLRequiresPublicGenerationJobLifecycleColumns(t *testing.T) {
+	for _, fragment := range []string{
+		"required_generation_job_columns(column_name)",
+		"information_schema.columns",
+		"table_schema = 'public'",
+		"table_name = 'generation_jobs'",
+	} {
+		if !strings.Contains(ReadinessSQL, fragment) {
+			t.Errorf("ReadinessSQL missing public generation_jobs column check %q", fragment)
+		}
+	}
+	for _, column := range []string{
+		"provider_dispatch_started_at",
+		"dispatch_ready_at",
+		"finalized_at",
+	} {
+		if !strings.Contains(ReadinessSQL, "('"+column+"')") {
+			t.Errorf("ReadinessSQL missing required lifecycle column %q", column)
+		}
+	}
+}
+
 func TestReadinessLocalSucceedsWithoutQuery(t *testing.T) {
 	db := NewDatabase(Config{Backend: BackendLocal}, &fakeQuerier{err: errors.New("must not query")})
 	if err := db.Readiness(context.Background()); err != nil {