fix gateway loopback validation chains

apps/web/src/pages/admin/AccessPermissionEditor.tsx

@@ -304,7 +304,7 @@ function buildPlatformTree(platforms: IntegrationPlatform[], platformModels: Pla
       .map((model) => ({
         id: model.id,
         name: modelLabel(model),
-        subtitle: `${model.modelType} / ${model.modelName}`,
+        subtitle: `${model.modelType.join(', ')} / ${model.modelName}`,
       })),
   })).sort((a, b) => a.name.localeCompare(b.name));
 }

apps/web/src/pages/admin/PlatformManagementPanel.tsx

@@ -59,7 +59,7 @@ export function PlatformManagementPanel(props: {
         model.displayName,
         model.modelName,
         model.modelAlias,
-        model.modelType,
+        ...model.modelType,
         model.provider,
         platform?.name,
         platform?.internalName,
@@ -473,7 +473,7 @@ function PlatformModelTable(props: {
                 <ModelCatalogCard
                   key={model.id}
                   badges={[
-                    <Badge variant="outline">{model.modelType}</Badge>,
+                    <Badge variant="outline">{model.modelType.join(', ')}</Badge>,
                     <Badge variant={model.enabled ? 'success' : 'secondary'}>{model.enabled ? 'enabled' : 'disabled'}</Badge>,
                   ]}
                   chips={platformModelChips(model)}
@@ -889,7 +889,7 @@ function findBaseModelForPlatformModel(platform: IntegrationPlatform | undefined
   return baseModels.find((item) => item.id === model.baseModelId) ??
     baseModels.find((item) => item.canonicalModelKey === model.modelAlias) ??
     baseModels.find((item) => stableModelAlias(item) === model.modelAlias) ??
-    baseModels.find((item) => item.providerKey === platform?.provider && item.providerModelName === model.modelName && baseModelTypes(item).includes(model.modelType));
+    baseModels.find((item) => item.providerKey === platform?.provider && item.providerModelName === model.modelName && model.modelType.some((type) => baseModelTypes(item).includes(type)));
 }
 
 function readPlatformModelIconPath(model: PlatformModel, baseModel?: BaseModelCatalogItem) {

apps/web/src/pages/admin/platform-form.ts

@@ -149,7 +149,7 @@ export function platformModelPayloads(models: BaseModelCatalogItem[], form: Plat
     canonicalModelKey: model.canonicalModelKey,
     modelName: model.providerModelName,
     modelAlias: stableModelAlias(model),
-    modelType: primaryBaseModelType(model),
+    modelType: baseModelTypes(model),
     displayName: stableModelAlias(model) || model.providerModelName,
     pricingMode: 'inherit_discount',
     discountFactor: optionalPositiveNumber(form.modelDiscountFactors[model.id]) ?? optionalPositiveNumber(form.modelDiscountFactor),