Enhance Playwright test coverage and refactor e2e authentication tests

- Improved validation checks with element ID and class-specific locators for better accuracy and resilience.
- Removed outdated form behaviors (e.g., "Remember me" and test-only shortcuts) for updated flows.
- Refactored test cases to reflect backend changes, and standardized password validation and error messages.
- Updated selector usage to leverage `getByRole` for improved accessibility testing.
- Reorganized and optimized test timeouts and interactivity delays for faster execution.

frontend/.gitignore

@@ -12,7 +12,8 @@
 
 # testing
 /coverage
-
+playwright-report
+test-results
 # next.js
 /.next/
 /out/