Fully extract more sync logic into the VaultSyncManager

[david-livefront]

🎟️ Tracking

N/A

📔 Objective

This PR extracts the remaining Sync logic into the VaultSyncManager.

⏰ 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 – 4aca6642-32ae-48ed-a21c-05a26a16b90d

Great job! No new security vulnerabilities introduced in this pull request

[codecov]

Codecov Report

❌ Patch coverage is 92.93286% with 20 lines in your changes missing coverage. Please review.
✅ Project coverage is 84.39%. Comparing base (fd555e9) to head (ac8057b).
⚠️ Report is 2 commits behind head on main.

Files with missing lines	Patch %	Lines
...twarden/data/vault/manager/VaultSyncManagerImpl.kt	91.96%	6 Missing and 14 partials ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5912      +/-   ##
==========================================
+ Coverage   84.36%   84.39%   +0.02%     
==========================================
  Files         737      723      -14     
  Lines       54827    54470     -357     
  Branches     7487     7484       -3     
==========================================
- Hits        46257    45969     -288     
+ Misses       5954     5888      -66     
+ Partials     2616     2613       -3     

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[david-livefront]

Thanks @SaintPatrck