Modify Edge to build Mv3 - Part 2

[trmartin4]

🎟️ Tracking

https://bitwarden.atlassian.net/browse/PM-8319

📔 Objective

Remove the dist:edge:mv3 scripts once #12674 is merged so that the workflows on main no longer reference them.

Note that Opera was reverted in #12921, so the scope of the change is only Edge.

⏰ 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 – 268ecb44-ea80-47c4-8418-3e4fc5394b43

Great job, no security vulnerabilities found in this Pull Request

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 35.20%. Comparing base (6f018e1) to head (426d5f1).
Report is 99 commits behind head on main.

✅ All tests successful. No failed tests found.

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #12675      +/-   ##
==========================================
+ Coverage   34.27%   35.20%   +0.92%     
==========================================
  Files        2935     2992      +57     
  Lines       90232    90670     +438     
  Branches    16943    16964      +21     
==========================================
+ Hits        30931    31918     +987     
+ Misses      56837    56288     -549     
  Partials     2464     2464              

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The base branch was changed.