feat(openai): add Live gateway support

frontend/src/utils/errorBadges.ts

@@ -15,9 +15,10 @@ export function statusCodeBadgeClass(code: number): string {
   return 'bg-gray-100 text-gray-800 dark:bg-dark-700 dark:text-gray-200'
 }
 
-/** 请求类型徽章配色(cyber 红、ws 紫、stream 蓝、sync 灰、未知琥珀) */
+/** 请求类型徽章配色(cyber 红、live 绿、ws 紫、stream 蓝、sync 灰、未知琥珀) */
 export function requestTypeBadgeClass(kind: UsageRequestKind): string {
   if (kind === 'cyber') return 'bg-red-100 text-red-800 dark:bg-red-900 dark:text-red-200'
+  if (kind === 'live') return 'bg-emerald-100 text-emerald-800 dark:bg-emerald-900 dark:text-emerald-200'
   if (kind === 'ws_v2') return 'bg-violet-100 text-violet-800 dark:bg-violet-900 dark:text-violet-200'
   if (kind === 'stream') return 'bg-blue-100 text-blue-800 dark:bg-blue-900 dark:text-blue-200'
   if (kind === 'sync') return 'bg-gray-100 text-gray-800 dark:bg-dark-700 dark:text-gray-200'
@@ -27,6 +28,7 @@ export function requestTypeBadgeClass(kind: UsageRequestKind): string {
 /** 请求类型 i18n 键(展示方自行 t()) */
 export function requestTypeLabelKey(kind: UsageRequestKind): string {
   if (kind === 'cyber') return 'usage.cyber'
+  if (kind === 'live') return 'usage.live'
   if (kind === 'ws_v2') return 'usage.ws'
   if (kind === 'stream') return 'usage.stream'
   if (kind === 'sync') return 'usage.sync'
@@ -43,6 +45,7 @@ export function numericRequestTypeKind(
 ): UsageRequestKind | null {
   const rt = requestType ?? (stream == null ? 0 : stream ? 2 : 1)
   if (rt === 3) return 'ws_v2'
+  if (rt === 5) return 'live'
   if (rt === 2) return 'stream'
   if (rt === 1) return 'sync'
   return null