chore: clean up repo structure

- Add node_modules/, test-results/, e2e-report/, .omp/ to .gitignore
- Remove throwaway debug scripts (debug-pw*.js, debug-login-dom.js)
- Remove empty mock-server/ directory
- Untrack harness artifact (.omp/plans/)
- Add missing project files to git (e2e tests, Dockerfiles, tooling configs)

e2e/login.spec.ts

@@ -0,0 +1,14 @@
+import { test, expect } from '@playwright/test';
+import { login } from './utils/auth';
+
+test('login navigates to admin area', async ({ page }) => {
+  // login() waits for the LuCI JS framework to render the login view,
+  // fills root / empty password, submits, and waits for the admin menu.
+  await login(page);
+
+  // After login, LuCI lands on the admin overview at /cgi-bin/luci/
+  await expect(page).toHaveURL(/\/cgi-bin\/luci\//);
+
+  // The bootstrap admin menu should be visible.
+  await expect(page.locator('.nav').first()).toBeVisible();
+});