feat(release_homebrew): bring tests to parity with official homebrew workflows

[ReenigneArcher]

Description

Use brew test-bot for testing formulas.

TODO:

• use org tap instead of creating new temporary tap
• audit using brew test-bot
• build bottles using brew test-bot
• publish formulas via PR instead of direct push
  • auto label PRs from our bot with pr-pull after PR checks pass

Screenshot

Issues Fixed or Closed

Roadmap Issues

Type of Change

• feat: New feature (non-breaking change which adds functionality)
• fix: Bug fix (non-breaking change which fixes an issue)
• docs: Documentation only changes
• style: Changes that do not affect the meaning of the code (white-space, formatting, missing semicolons, etc.)
• refactor: Code change that neither fixes a bug nor adds a feature
• perf: Code change that improves performance
• test: Adding missing tests or correcting existing tests
• build: Changes that affect the build system or external dependencies
• ci: Changes to CI configuration files and scripts
• chore: Other changes that don't modify src or test files
• revert: Reverts a previous commit
• BREAKING CHANGE: Introduces a breaking change (can be combined with any type above)

Checklist

• Code follows the style guidelines of this project
• Code has been self-reviewed
• Code has been commented, particularly in hard-to-understand areas
• Code docstring/documentation-blocks for new or existing methods/components have been added or updated
• Unit tests have been added or updated for any new or modified functionality

AI Usage

• None: No AI tools were used in creating this PR
• Light: AI provided minor assistance (formatting, simple suggestions)
• Moderate: AI helped with code generation or debugging specific parts
• Heavy: AI generated most or all of the code changes

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 100.00%. Comparing base (3a6943b) to head (c9c8e32).
⚠️ Report is 1 commits behind head on master.
✅ All tests successful. No failed tests found.

Additional details and impacted files

@@            Coverage Diff             @@
##            master       #80    +/-   ##
==========================================
  Coverage   100.00%   100.00%            
==========================================
  Files            6         6            
  Lines          820       979   +159     
  Branches        82        82            
==========================================
+ Hits           820       979   +159     

Flag	Coverage Δ
Linux	100.00% <100.00%> (ø)
Windows	76.50% <35.29%> (-6.55%)	⬇️
macOS	100.00% <100.00%> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

Files with missing lines	Coverage Δ
actions/release_homebrew/main.py	100.00% <100.00%> (ø)

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[sonarqubecloud]

Quality Gate passed

Issues
0 New issues
0 Accepted issues

Measures
0 Security Hotspots
0.0% Coverage on New Code
0.0% Duplication on New Code

See analysis details on SonarQube Cloud