test(homeassistant): the page's wording on who reboots after an OS update (#6755)

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

tests/integration/test_homeassistant.py

@@ -548,15 +548,19 @@ def test_the_page_shows_storage_used_of_the_total_with_the_percentage(app):
     assert "Disk free" not in page
 
 
-def test_the_page_says_an_os_update_waits_on_a_reboot_rather_than_making_one(app):
+def test_the_page_says_install_leaves_the_reboot_to_you_and_the_schedule_makes_it(app):
+    sched = _ha("scheduler")
+    ha = _ha_with_os_update_waiting()
+
     async def go():
         await _clean(app)
+        await sched.poll(app, transport=ha.transport, connect=FakeSocket({}))
         web, _ = await _admin_client(app)
         return await (await web.get("/plugins/homeassistant/")).get_data(as_text=True)
 
     page = asyncio.run(go())
-    assert "takes effect only once you reboot the machine" in page
-    assert "reboots the machine" not in page
+    assert "It takes effect once you reboot the machine" in page
+    assert "an OS update reboots the machine, with nobody there to watch" in page
 
 
 def test_a_report_it_couldnt_read_leaves_the_last_one_and_home_assistant_still_answers(app):