[PM-7125] Remove extension-refresh feature flag from clients

[djsmith85]

🎟️ Tracking

https://bitwarden.atlassian.net/browse/PM-7125

📔 Objective

With the removal of the last usage of the extension-refresh-feature flag (#13449), this flag can finally be removed from clients.

⏰ 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

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 35.29%. Comparing base (d2b0928) to head (fe7754d).
Report is 31 commits behind head on arch/remove-nord-solarize.

Additional details and impacted files

@@                      Coverage Diff                      @@
##           arch/remove-nord-solarize   #13450      +/-   ##
=============================================================
- Coverage                      35.29%   35.29%   -0.01%     
=============================================================
  Files                           3125     3125              
  Lines                          92572    92571       -1     
  Branches                       16799    16799              
=============================================================
- Hits                           32673    32672       -1     
  Misses                         57459    57459              
  Partials                        2440     2440              

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

[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

[github-actions]

Checkmarx One – Scan Summary & Details – 1dd7abdb-9626-4c16-be44-f79194b3e9be

Great job, no security vulnerabilities found in this Pull Request