Remove Code Duplication

[Aesthetikx]

What this does

cf61b71 introduced the save_to_database method, but did not replace the (identical) partial implementation in the existing refresh! method.

Type of change

• Bug fix
• New feature
• Breaking change
• Documentation
• Performance improvement
• Code maintainability

Scope check

• I read the Contributing Guide
• This aligns with RubyLLM's focus on LLM communication
• This isn't application-specific logic that belongs in user code
• This benefits most users, not just my specific use case

Quality check

• I ran overcommit --install and all hooks pass
• I tested my changes thoroughly
  • For provider changes: Re-recorded VCR cassettes with bundle exec rake vcr:record[provider_name]
  • All tests pass: bundle exec rspec
• I updated documentation if needed
• I didn't modify auto-generated files manually (models.json, aliases.json)

AI-generated code

• I used AI tools to help write this code
• I have reviewed and understand all generated code (required if above is checked)

API changes

• Breaking change
• New public methods/classes
• Changed method signatures
• No API changes

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 86.17%. Comparing base (5156940) to head (9dd1b04).
⚠️ Report is 2 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #732      +/-   ##
==========================================
+ Coverage   86.16%   86.17%   +0.01%     
==========================================
  Files         118      118              
  Lines        5334     5331       -3     
  Branches     1350     1350              
==========================================
- Hits         4596     4594       -2     
+ Misses        738      737       -1     

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.