refactor: Remove CODECOV_TOKEN from CI workflow

[mfranzke]

Description

Brief description of the changes in this PR.

Type of Change

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)
• Documentation update
• Performance improvement
• Code refactoring

Testing

• Tests pass locally
• Added tests for new functionality
• Updated existing tests
• Manual testing completed

Checklist

• My code follows the project's style guidelines
• I have performed a self-review of my code
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• My changes generate no new warnings
• I have added tests that prove my fix is effective or that my feature works
• New and existing unit tests pass locally with my changes
• Any dependent changes have been merged and published

Browser Testing

If applicable, please test in the following browsers:

• Chrome
• Firefox
• Safari
• Edge

Performance Impact

If this change affects performance:

• I have run performance benchmarks
• Performance impact is documented
• Performance regression is acceptable for the added functionality

Breaking Changes

If this introduces breaking changes, please describe:

Additional Notes

Any additional information that reviewers should know.

[changeset-bot]

⚠️ No Changeset found

Latest commit: e5dd13d

Merging this PR will not cause a version bump for any packages. If these changes should not result in a new version, you're good to go. If these changes should result in a version bump, you need to add a changeset.

This PR includes no changesets

When changesets are added to this PR, you'll see the packages that this PR includes changesets for and the associated semver types

Click here to learn what changesets are, and how to add one.

Click here if you're a maintainer who wants to add a changeset to this PR

[Copilot]

Pull Request Overview

This PR removes the CODECOV_TOKEN from the CI workflow configuration, simplifying the Codecov integration by relying on the default token-less authentication method.

• Removed the explicit token parameter from the Codecov action configuration

[github-actions]

🚀 Performance Benchmark Results

Metric	Value	Status
Initialization Time	0.50ms	✅
Avg Processing Time	0.2811ms	✅
Total Processing Time (1000x)	281.10ms	ℹ️

✅ All benchmarks passed!

[github-actions]

🚀 Performance Benchmark Results

Metric	Value	Status
Initialization Time	0.40ms	✅
Avg Processing Time	0.2747ms	✅
Total Processing Time (1000x)	274.70ms	ℹ️

✅ All benchmarks passed!