feat(codex): align Search and execution protocol

frontend/src/features/usage/utils/__tests__/status.spec.ts

@@ -197,6 +197,14 @@ describe('usage status helpers', () => {
       client_is_stream: undefined,
     }))).toBe('标准->流式')
 
+    expect(formatUsageStreamLabel(buildUsageRecord({
+      api_format: 'openai:search',
+      is_stream: false,
+      upstream_is_stream: false,
+      client_requested_stream: undefined,
+      client_is_stream: undefined,
+    }))).toBe('标准')
+
     expect(formatUsageStreamLabel(buildUsageRecord({
       api_format: 'claude:messages',
       is_stream: false,

frontend/src/features/usage/utils/status.ts

@@ -160,6 +160,7 @@ function usageApiFormatDefaultsToNonStream(apiFormat: string): boolean {
     case 'openai:chat':
     case 'openai:responses':
     case 'openai:responses:compact':
+    case 'openai:search':
     case 'openai:image':
     case 'claude:messages':
       return true