Added logins key loss sync integration test

[lougeniaC64]

Pull Request checklist

• Breaking changes: This PR follows our breaking change policy
  • This PR follows the breaking change policy:
    • This PR has no breaking API changes, or
    • There are corresponding PRs for our consumer applications that resolve the breaking changes and have been approved
• Quality: This PR builds and tests run cleanly
  • Note:
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    • If this pull request includes a breaking change, consider cutting a new release after merging.
• Tests: This PR includes thorough tests or an explanation of why it does not
• Changelog: This PR includes a changelog entry in CHANGELOG.md or an explanation of why it does not need one
  • Any breaking changes to Swift or Kotlin binding APIs are noted explicitly
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  • Any new dependencies are accompanied by a summary of the due dilligence applied in selecting them.

Branch builds: add [firefox-android: branch-name] to the PR title.

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 36.67%. Comparing base (ecef2d4) to head (75afe67).
Report is 428 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #5885   +/-   ##
=======================================
  Coverage   36.67%   36.67%           
=======================================
  Files         348      348           
  Lines       33607    33607           
=======================================
  Hits        12324    12324           
  Misses      21283    21283           

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