feat: update codex live runtime and restart flow

src/features/serverCommand/ServerCommandPage.tsx

@@ -108,6 +108,7 @@ export function ServerCommandPage() {
   const [lastActionByKey, setLastActionByKey] = useState<Record<ServerCommandKey, LastActionInfo>>({
     test: { output: null, executedAt: '', restartState: 'completed' },
     rel: { output: null, executedAt: '', restartState: 'completed' },
+    prod: { output: null, executedAt: '', restartState: 'completed' },
     'work-server': { output: null, executedAt: '', restartState: 'completed' },
     'command-runner': { output: null, executedAt: '', restartState: 'completed' },
   });
@@ -211,7 +212,7 @@ export function ServerCommandPage() {
             Server Command
           </Title>
           <Paragraph className="server-command-page__copy">
-            TEST, REL, WORK-SERVER, COMMAND-RUNNER 상태를 확인하고 허용된 재기동 명령만 실행합니다.
+            TEST, REL, PROD, WORK-SERVER, COMMAND-RUNNER 상태를 확인하고 허용된 재기동 명령만 실행합니다.
           </Paragraph>
           <Row gutter={[12, 12]} className="server-command-page__summary-grid">
             <Col xs={12} md={6}>