fix: prioritize public repository in Git account selector

[TheoGrandin74]

Summary

• Place the Public repository option first in the shared Git account selector.
• Keep connected Git accounts and tokens after it across all flows using the selector.

Verification

• Reviewed the diff and ran git diff --check.

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Summary by cubic

Places the Public repository option first in the Git account selector so it appears before connected Git accounts and tokens in every flow using the selector.

^{Written for commit c8a9238. Summary will update on new commits.}

[nx-cloud]

View your CI Pipeline Execution ↗ for commit c8a9238

Command	Status	Duration	Result
nx run console:build --parallel=3 --configurati...	✅ Succeeded	1m	View ↗
nx affected --target=test --parallel=3 --config...	✅ Succeeded	2m 19s	View ↗
nx affected --target=lint --parallel=3	✅ Succeeded	2m 20s	View ↗
nx-cloud record -- yarn nx format:check	✅ Succeeded	5s	View ↗

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☁️ Nx Cloud last updated this comment at 2026-09-25 09:10:12 UTC

[cubic-dev-ai]

No issues found across 1 file

Confidence score: 5/5

• Automated review surfaced no issues in the provided summaries.
• No files require special attention.

_{Re-trigger cubic}

[codecov]

Codecov Report

❌ Patch coverage is 0% with 1 line in your changes missing coverage. Please review.
✅ Project coverage is 50.90%. Comparing base (2e2dff1) to head (c8a9238).

Files with missing lines	Patch %	Lines
.../lib/git-provider-setting/git-provider-setting.tsx	0.00%	0 Missing and 1 partial ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##           staging    #3017      +/-   ##
===========================================
- Coverage    52.11%   50.90%   -1.21%     
===========================================
  Files         1280      719     -561     
  Lines        28184    17933   -10251     
  Branches      8554     5426    -3128     
===========================================
- Hits         14687     9129    -5558     
+ Misses       11071     7351    -3720     
+ Partials      2426     1453     -973     

Flag	Coverage Δ
unittests	50.90% <0.00%> (-1.21%)	⬇️

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