PM-25642: Force sync or clear last sync time on sync notification

[david-livefront]

🎟️ Tracking

PM-25642

📔 Objective

This PR updates the background sync and import logins sync to be a forced sync.

⏰ 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 – 9756ab98-69ba-4b9f-b626-b69052bab4f2

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

[david-livefront]

Thanks @SaintPatrck

[codecov]

Codecov Report

❌ Patch coverage is 90.00000% with 1 line in your changes missing coverage. Please review.
✅ Project coverage is 84.39%. Comparing base (2363b0d) to head (dcdedb1).
⚠️ Report is 4 commits behind head on main.

Files with missing lines	Patch %	Lines
...bitwarden/data/platform/manager/PushManagerImpl.kt	80.00%	0 Missing and 1 partial ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5958      +/-   ##
==========================================
+ Coverage   84.37%   84.39%   +0.02%     
==========================================
  Files         723      716       -7     
  Lines       54446    54434      -12     
  Branches     7481     7483       +2     
==========================================
+ Hits        45940    45941       +1     
+ Misses       5893     5878      -15     
- Partials     2613     2615       +2     

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