test: add queue overlay and workflow search E2E tests (#10802)

## Summary
- Add queue overlay E2E tests: toggle, filter tabs, completed filter,
close (5 tests)
- Add workflow sidebar search E2E tests: search input, filter by name,
clear, no matches (4 tests)
- Fix AssetsHelper mock timestamps from seconds to milliseconds
(matching backend's `int(time.time() * 1000)`)
- Type AssetsHelper response pagination with `JobsListResponse` from
`@comfyorg/ingest-types`

## Test plan
- [ ] CI passes all Playwright shards
- [ ] `pnpm typecheck:browser` passes
- [ ] `pnpm lint` passes

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-10802-test-add-queue-overlay-and-workflow-search-E2E-tests-3356d73d365081018df8c7061c0854ee)
by [Unito](https://www.unito.io)

---------

Co-authored-by: Benjamin Lu <benjaminlu1107@gmail.com>

browser_tests/tests/sidebar/workflowSearch.spec.ts

@@ -0,0 +1,77 @@
+import type { Page } from '@playwright/test'
+import { expect } from '@playwright/test'
+
+import { comfyPageFixture as test } from '../../fixtures/ComfyPage'
+
+/** Locate a workflow label in whatever panel is visible (browse or search). */
+function findWorkflow(page: Page, name: string) {
+  return page
+    .getByTestId('workflows-sidebar')
+    .locator('.node-label', { hasText: name })
+}
+
+test.describe('Workflow sidebar - search', () => {
+  test.beforeEach(async ({ comfyPage }) => {
+    await comfyPage.workflow.setupWorkflowsDirectory({
+      'alpha-workflow.json': 'default.json',
+      'beta-workflow.json': 'default.json'
+    })
+  })
+
+  test('Search input is visible in workflows tab', async ({ comfyPage }) => {
+    const tab = comfyPage.menu.workflowsTab
+    await tab.open()
+
+    await expect(
+      comfyPage.page.getByPlaceholder('Search Workflow...')
+    ).toBeVisible()
+  })
+
+  test('Search filters saved workflows by name', async ({ comfyPage }) => {
+    const tab = comfyPage.menu.workflowsTab
+    await tab.open()
+
+    const searchInput = comfyPage.page.getByPlaceholder('Search Workflow...')
+    await searchInput.fill('alpha')
+
+    await expect(findWorkflow(comfyPage.page, 'alpha-workflow')).toBeVisible({
+      timeout: 5000
+    })
+    await expect(
+      findWorkflow(comfyPage.page, 'beta-workflow')
+    ).not.toBeVisible()
+  })
+
+  test('Clearing search restores all workflows', async ({ comfyPage }) => {
+    const tab = comfyPage.menu.workflowsTab
+    await tab.open()
+
+    const searchInput = comfyPage.page.getByPlaceholder('Search Workflow...')
+    await searchInput.fill('alpha')
+    await expect(
+      findWorkflow(comfyPage.page, 'beta-workflow')
+    ).not.toBeVisible()
+
+    await searchInput.fill('')
+
+    await expect(tab.getPersistedItem('alpha-workflow')).toBeVisible({
+      timeout: 5000
+    })
+    await expect(tab.getPersistedItem('beta-workflow')).toBeVisible()
+  })
+
+  test('Search with no matches shows empty results', async ({ comfyPage }) => {
+    const tab = comfyPage.menu.workflowsTab
+    await tab.open()
+
+    const searchInput = comfyPage.page.getByPlaceholder('Search Workflow...')
+    await searchInput.fill('nonexistent_xyz')
+
+    await expect(
+      findWorkflow(comfyPage.page, 'alpha-workflow')
+    ).not.toBeVisible()
+    await expect(
+      findWorkflow(comfyPage.page, 'beta-workflow')
+    ).not.toBeVisible()
+  })
+})