feat: update codex live automation and plan flows

src/app/main/layout/buildSearchOptions.ts

@@ -145,6 +145,18 @@ export function buildSearchOptions({
     },
     ...(hasAccess
       ? [
+          {
+            id: 'page:plans:automation-type',
+            label: `${PLAN_GROUP_LABEL} / ${PLAN_SIDEBAR_LABELS['automation-type']}`,
+            group: 'Page',
+            keywords: ['plans', 'plan', 'automation type', '자동화 유형', '자동화 처리', '유형 관리'],
+            onSelect: () => {
+              requestPlanQuickFilter(null);
+              navigateTo(buildPlansPath('automation-type'));
+              setFocusedComponentId(null);
+            },
+            onSelectWindow,
+          } satisfies SearchKeywordOption,
           {
             id: 'page:plans:history',
             label: `${PLAN_GROUP_LABEL} / ${PLAN_SIDEBAR_LABELS.history}`,