fix(session-options): keep Respawn and Ralph visible for Claude sessions

Since the CLI registry gave claude kind 'agent' (#476), isExternalCliRunMode() reads claude as an external CLI, so Session Options opened every Claude session on Summary and hid the Respawn and Ralph tabs and every Claude-only control (auto-resume, the respawn loop). The browser catalog now carries the registry's capabilities.external, the flag the server's isExternalCliMode() already reads, and Session Options asks that instead. run() keeps isExternalCliRunMode(): choosing a launch path is a different question, and custom agents rely on it.

test/render-index-html.test.ts

@@ -248,16 +248,23 @@ describe('WebServer.renderIndexHtml', () => {
       shortBadge: string;
       order: number;
       kind: string;
+      external: boolean;
       enabled: boolean;
       available: boolean;
     }>;
     expect(catalog.map((entry) => entry.id)).toEqual(STOCK_CLIS.map((entry) => entry.id));
-    expect(catalog.find((entry) => entry.id === 'codex')).toMatchObject({ label: 'Codex', kind: 'agent' });
+    expect(catalog.find((entry) => entry.id === 'codex')).toMatchObject({
+      label: 'Codex',
+      kind: 'agent',
+      external: true,
+    });
+    // claude is `kind: 'agent'` too; `external` is what keeps its Respawn/Ralph options visible.
+    expect(catalog.find((entry) => entry.id === 'claude')).toMatchObject({ kind: 'agent', external: false });
     expect(catalog.find((entry) => entry.id === 'shell')).toMatchObject({ enabled: true, available: true });
     expect(
       catalog.every((entry) =>
         Object.keys(entry).every((key) =>
-          ['id', 'label', 'shortBadge', 'order', 'kind', 'enabled', 'available'].includes(key)
+          ['id', 'label', 'shortBadge', 'order', 'kind', 'external', 'enabled', 'available'].includes(key)
         )
       )
     ).toBe(true);

test/run-mode-ui.test.ts

@@ -453,7 +453,15 @@ describe('Codex quick start settings', () => {
         const src = readFileSync(resolve(import.meta.dirname, `../src/web/public/${file}`), 'utf8');
         vm.runInContext(src, context, { filename: file });
       }
-      return { app: new (CodemanApp as any)(), welcomeCliActions, tunnelBtn, runModeCliOptions, modeBtns, menu };
+      return {
+        app: new (CodemanApp as any)(),
+        welcomeCliActions,
+        tunnelBtn,
+        runModeCliOptions,
+        modeBtns,
+        menu,
+        context,
+      };
     }
 
     const ALL_OFF = {
@@ -539,6 +547,15 @@ describe('Codex quick start settings', () => {
       expect(src).not.toContain('data-mode="codex"');
     });
 
+    it('keeps Claude-only session options for claude even though it is a registry agent', () => {
+      const catalog = CATALOG.map((cli) => ({ ...cli, external: cli.id !== 'claude' && cli.id !== 'shell' }));
+      const { context } = loadUi(undefined, catalog);
+      expect(context.isExternalCliSession('claude')).toBe(false);
+      expect(context.isExternalCliSession('shell')).toBe(false);
+      expect(context.isExternalCliSession('codex')).toBe(true);
+      expect(context.isExternalCliSession('custom-agent')).toBe(true);
+    });
+
     it('shows everything when the flags were never injected', () => {
       // A cached page from a build without the injection, or a solo popup. Hiding
       // every run button on a doubt would leave a working install nothing to click.