fix: try API only for new pr_json files

[beckermr]

Description:

This PR ensures the bot only uses the github API to deploy new pr_json files. This will ensure consistent updates with respect to other bot processes.

Checklist:

• Pydantic model updated or no update needed

Cross-refs, links to issues, etc:

closes #5219

[codecov]

Codecov Report

❌ Patch coverage is 35.41667% with 31 lines in your changes missing coverage. Please review.
✅ Project coverage is 80.62%. Comparing base (aea797b) to head (3ddd781).
⚠️ Report is 3 commits behind head on main.

Files with missing lines	Patch %	Lines
conda_forge_tick/deploy.py	3.57%	27 Missing ⚠️
conda_forge_tick/git_utils.py	40.00%	3 Missing ⚠️
conda_forge_tick/auto_tick.py	0.00%	1 Missing ⚠️

❌ Your patch status has failed because the patch coverage (35.41%) is below the target coverage (80.00%). You can increase the patch coverage or adjust the target coverage.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5238      +/-   ##
==========================================
- Coverage   80.67%   80.62%   -0.05%     
==========================================
  Files         144      144              
  Lines       16862    16888      +26     
==========================================
+ Hits        13603    13616      +13     
- Misses       3259     3272      +13     

☔ 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.