e2e: wait for repo_status=ready and bump test timeout

Two issues uncovered by the page-snapshot dump after the agent
state-dir fix:

* The host page server-renders `Run backup now` as disabled
  while repo_status != ready, and the page has no live-refresh
  on that field. The test was navigating right after status
  flipped to 'online' but before auto-init had completed (~3s
  later), so the rendered HTML still showed init_running and
  the click was a no-op. Wait for repo_status === 'ready'
  before navigating.

* playwright.config.ts pinned the per-test timeout at 60s,
  but the test itself uses 60s + 120s of internal waits.
  Bump to 240s so the test fails on real regressions instead
  of timing out on its own internal budget.

Renamed the test description away from "under a minute" since
it overpromises against the new timeout. The performance SLO
belongs in a separate test if we want to assert it.

e2e/playwright/playwright.config.ts

@@ -10,7 +10,11 @@ const baseURL = process.env.RM_BASE_URL ?? 'http://127.0.0.1:8080';
 
 export default defineConfig({
     testDir: './tests',
-    timeout: 60_000,
+    // 4 minutes — the smoke test waits for: enrolment + bootstrap
+    // (~5s), auto-init landing (~10s), backup completion (~120s
+    // budget). 60s is far too tight in CI; 4m gives headroom even
+    // on a contended runner without masking real regressions.
+    timeout: 240_000,
     expect: { timeout: 10_000 },
     fullyParallel: false,
     retries: process.env.CI ? 1 : 0,