fix(app): resolve terminal profiles at creation boundary

Profile placeholders were reaching spawned processes because each menu decided whether to resolve them. Keep UI callers profile-only and perform empty-prompt resolution once when the workspace terminal is created.

packages/app/e2e/browser/launcher-tab.spec.ts

@@ -22,11 +22,23 @@ import {
   setupDeterministicPrompt,
 } from "../support/helpers/terminal-perf";
 import { seedWorkspace, type SeededWorkspace } from "../support/helpers/seed-client";
+import {
+  expectTerminalOutputContains,
+  seedTerminalProfiles,
+  type TerminalProfile,
+} from "../support/helpers/new-workspace-launch";
 
 // ─── Shared state ──────────────────────────────────────────────────────────
 
 let workspace: SeededWorkspace;
 
+const EMPTY_PROMPT_PROFILE: TerminalProfile = {
+  id: "e2e-empty-prompt",
+  name: "Empty Prompt",
+  command: "/bin/sh",
+  args: ["-c", 'echo prompt-args: "$#"; sleep 10', "profile-name", "{{{prompt}}}"],
+};
+
 test.beforeAll(async () => {
   workspace = await seedWorkspace({ repoPrefix: "launcher-e2e-" });
 });
@@ -137,6 +149,23 @@ test.describe("Tab creation", () => {
     expect(terminalTabs.length).toBeGreaterThanOrEqual(1);
   });
 
+  test("launching a profile from the New tab menu drops its empty prompt argument", async ({
+    page,
+  }) => {
+    test.setTimeout(45_000);
+    const profileSeed = await seedTerminalProfiles([EMPTY_PROMPT_PROFILE]);
+
+    try {
+      await gotoWorkspace(page, workspace.workspaceId);
+      await page.getByTestId("workspace-new-tab-menu-trigger").filter({ visible: true }).click();
+      await page.getByRole("menuitem", { name: EMPTY_PROMPT_PROFILE.name }).click();
+
+      await expectTerminalOutputContains(page, "prompt-args: 0");
+    } finally {
+      await profileSeed.restore();
+    }
+  });
+
   test("tab bar shows action buttons per pane", async ({ page }) => {
     await gotoWorkspace(page, workspace.workspaceId);
     await assertSingleNewTabButton(page);