chore/SRE-583 Deprecate usage of Auth-Email Header

[bitwarden-charlie]

🎟️ Tracking

https://bitwarden.atlassian.net/browse/SRE-583

📔 Objective

Deprecate usage of Auth-Email Header

Server side changes: bitwarden/server#5709

⏰ Reminders before review

• Contributor guidelines followed
• All formatters and local linters executed and passed
• Written new unit and / or integration tests where applicable
• Protected functional changes with optionality (feature flags)
• Used internationalization (i18n) for all UI strings
• CI builds passed
• Communicated to DevOps any deployment requirements
• Updated any necessary documentation (Confluence, contributing docs) or informed the documentation team

🦮 Reviewer guidelines

• 👍 (:+1:) or similar for great changes
• 📝 (:memo:) or ℹ️ (:information_source:) for notes or general info
• ❓ (:question:) for questions
• 🤔 (:thinking:) or 💭 (:thought_balloon:) for more open inquiry that's not quite a confirmed issue and could potentially benefit from discussion
• 🎨 (:art:) for suggestions / improvements
• ❌ (:x:) or ⚠️ (:warning:) for more significant problems or concerns needing attention
• 🌱 (:seedling:) or ♻️ (:recycle:) for future improvements or indications of technical debt
• ⛏ (:pick:) for minor or nitpick changes

[github-actions]

Checkmarx One – Scan Summary & Details – 7f60bf4b-8ca3-4f44-86ce-f94fef1a3f33

Great job! No new security vulnerabilities introduced in this pull request

[david-livefront]

Looks like you need a rebase so resolve the conflicts

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 83.90%. Comparing base (aca4b05) to head (fea0150).
⚠️ Report is 6 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5097      +/-   ##
==========================================
- Coverage   83.90%   83.90%   -0.01%     
==========================================
  Files         692      692              
  Lines       52872    52871       -1     
  Branches     7260     7260              
==========================================
- Hits        44364    44363       -1     
  Misses       5967     5967              
  Partials     2541     2541              

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[vvolkgang]

Updated the PR description with a link to the server PR: bitwarden/server#5709