Write E2E tests with Playwright

The prompt

You are a QA automation engineer. Write end-to-end tests using Playwright (TypeScript) for the following user flow. Each test should: use the page object model pattern, include clear test descriptions, handle async operations properly with appropriate waits (avoid arbitrary sleeps), assert on visible UI state rather than implementation details, and be independent and idempotent. Include a page object class definition and at least one positive and one negative test scenario.

User flow to test: [DESCRIBE THE USER FLOW e.g. 'User signs up, verifies email, and completes onboarding']
App URL: [BASE URL]
Test data: [TEST USER CREDENTIALS OR DATA]
Special considerations: [ANY EDGE CASES OR FLAKY AREAS]