BRE-359 - Update Build C++ workflow

[vgrassia]

🎟️ Tracking

• Card

📔 Objective

This PR updates the Build C++ workflow to update the logic around the bitwarden-c library to reflect the removal of the release folder.

⏰ 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 – 56ce8376-8508-405e-8c10-0c4c936fe6a9

No New Or Fixed Issues Found

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 58.32%. Comparing base (a76013c) to head (88a5b8f).
Report is 2 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #1123   +/-   ##
=======================================
  Coverage   58.32%   58.32%           
=======================================
  Files         193      193           
  Lines       13557    13557           
=======================================
  Hits         7907     7907           
  Misses       5650     5650           

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