Fix/288 failing playwright e2e tests

[IrynaLypnyk]

Description

Fixed existing failing Playwright E2E tests caused by outdated test expectations and outdated fallback mentorship content.

Changes include:

• updated the Become a Mentee fallback content text to use the correct wording: Want to start a career in software engineering
• updated the mentor registration page text assertion to match the current page content
• updated the Mentorship Overview navigation expectation from / to /mentorship
• updated the mentor CTA locator from the old Find a mentor label to the current Check our mentors label

These changes fix the currently failing Playwright E2E tests that were reproducible on main.

Type

• Bug Fix
• New Feature
• Code Refactor
• Documentation
• Other

Related Issue

Closes #288

Screenshots

N/A — this PR updates E2E test expectations and fallback content only. No visual UI changes were introduced.

Testing

Verified locally:

• Ran pnpm test:e2e:docker — 11 passed, 9 skipped
• Ran pnpm test
• Ran pnpm lint
• Ran pnpm type-check

Pull request checklist

Please check if your PR fulfills the following requirements:

• I checked and followed the contributor guide
• I have tested my changes locally.
• I have added a screenshot from the website after I tested it locally

[nora-weisser]

Thank you very much for the fix!! 🚀

[sonarqubecloud]

Quality Gate passed

Issues
0 New issues
0 Accepted issues

Measures
0 Security Hotspots
0.0% Coverage on New Code
0.0% Duplication on New Code

See analysis details on SonarQube Cloud