test(web): adapt workspace browser e2e interactions to the compact sidebar

The sidebar redesign removed group session counts, collapsed search into a
header action, and moved grouping into the View options menu. Update the
browser scenarios that waited on the old surfaces:

- Wait on the Ungrouped bucket row instead of the removed session-count text.
- Expand the collapsed search control before filling the renamed input.
- Open the View options menu instead of the removed Group by button.
- Assert the persisted grouping under the new dsh.workspace.view.v4 key.
- built-boot: assert the fixture workspace group row instead of its count.

apps/web/tests/workspace-management.e2e.ts

@@ -372,21 +372,22 @@ describe('web e2e: workspace management (create / rename / flat view / hover aff
     // Grouped default: workspace group rows render (the seeded session sits
     // under Ungrouped; the created workspaces are empty groups).
     await expect.poll(() => page.getByText('Workspaces', { exact: true }).count(), { timeout: 10_000 }).toBe(1)
-    await page.getByRole('button', { name: 'Group by' }).click()
+    // Grouping and ordering moved into the View options menu.
+    await page.getByRole('button', { name: 'View options' }).click()
     await page.getByRole('menuitem', { name: 'In one list' }).click()
     // Flat mode: the section label flips and the seeded session is a
     // top-level row with no group headers above it.
     await expect.poll(() => page.getByText('Sessions', { exact: true }).count(), { timeout: 10_000 }).toBeGreaterThanOrEqual(1)
     await expect.poll(() => page.getByText('Ungrouped', { exact: true }).count(), { timeout: 5_000 }).toBe(0)
     await expect.poll(() => page.locator('[role="treeitem"]').count(), { timeout: 10_000 }).toBeGreaterThanOrEqual(1)
-    expect(await page.evaluate(() => localStorage.getItem('dsh.workspace.view'))).toContain('flat')
+    expect(await page.evaluate(() => localStorage.getItem('dsh.workspace.view.v4'))).toContain('flat')
     // Persisted across reload; then restore grouped for inter-spec hygiene.
     const warningStart = tripwire.warnings.length
     await page.reload({ waitUntil: 'load' })
     await page.waitForSelector('[class*="frame"]', { timeout: 30_000 })
     acknowledgeReloadConnectionLoss(tripwire, warningStart)
     await expect.poll(() => page.getByText('Ungrouped', { exact: true }).count(), { timeout: 15_000 }).toBe(0)
-    await page.getByRole('button', { name: 'Group by' }).click()
+    await page.getByRole('button', { name: 'View options' }).click()
     await page.getByRole('menuitem', { name: 'WorkSpace' }).click()
     await expect.poll(() => page.getByText('Ungrouped', { exact: true }).count(), { timeout: 10_000 }).toBeGreaterThanOrEqual(1)
     expect(tripwire.pageErrors).toEqual([])