[PM-17042] Biometrics auto prompt popup does not show up on safari

[mzieniukbw]

🎟️ Tracking

https://bitwarden.atlassian.net/browse/PM-17042

📔 Objective

This is due to missing await before process reload, triggered by lock, effectively disabling the biometrics auto prompt on safari.
This should be detected by eslint, but due to misconfiguration, nothing was reported. Also fixed two other missing awaits on biometrics unlock.

📸 Screenshots

⏰ 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 – 35043b8c-ce73-41b0-93ca-bcfbb0bf6433

Great job, no security vulnerabilities found in this Pull Request

[codecov]

Codecov Report

Attention: Patch coverage is 0% with 4 lines in your changes missing coverage. Please review.

Project coverage is 34.28%. Comparing base (f44b36b) to head (e535491).
Report is 11 commits behind head on main.

✅ All tests successful. No failed tests found.

Files with missing lines	Patch %	Lines
...iometrics/background-browser-biometrics.service.ts	0.00%	2 Missing ⚠️
apps/browser/src/popup/app.component.ts	0.00%	2 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #12868      +/-   ##
==========================================
- Coverage   34.28%   34.28%   -0.01%     
==========================================
  Files        2934     2934              
  Lines       90225    90210      -15     
  Branches    16944    16942       -2     
==========================================
- Hits        30937    30930       -7     
+ Misses      56824    56816       -8     
  Partials     2464     2464              

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