[PM-16259] Remove v1 popout component

[djsmith85]

🎟️ Tracking

https://bitwarden.atlassian.net/browse/PM-16259

📔 Objective

Removing the conditional rendering of the popout component based on the ExtensionRefresh feature flag

📸 Screenshots

Before	After

⏰ 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 – 486c16e0-9725-4aa5-981d-2d2c78979681

No New Or Fixed Issues Found

[codecov]

Codecov Report

Attention: Patch coverage is 0% with 1 line in your changes missing coverage. Please review.

Project coverage is 33.78%. Comparing base (0619ef5) to head (37bc392).

✅ All tests successful. No failed tests found.

Files with missing lines	Patch %	Lines
...src/platform/popup/components/pop-out.component.ts	0.00%	0 Missing and 1 partial ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #12518      +/-   ##
==========================================
- Coverage   33.78%   33.78%   -0.01%     
==========================================
  Files        2912     2912              
  Lines       90693    90688       -5     
  Branches    17151    17150       -1     
==========================================
- Hits        30641    30636       -5     
  Misses      57666    57666              
  Partials     2386     2386              

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