ci: use primer integration app for status checks

[joshblack]

Use the Primer Integration App for setting status checks so that required checks come from the same source.

Changelog

New

Changed

• Use the Primer Integration App for setting status checks from github-ui

Removed

Rollout strategy

• None; if selected, include a brief description as to why

Update our workflow to use the Primer Integration App token for setting status checks. This should help fix our issues when requiring these status checks but GitHub Actions is reporting on them.

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Latest commit: 34f79fd

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[Copilot]

Pull Request Overview

This PR updates the status-checks workflow to use a GitHub App token instead of the default GITHUB_TOKEN for setting commit statuses when integration tests are skipped manually.

• Adds GitHub App token generation step using create-github-app-token action
• Replaces GITHUB_TOKEN with the generated app token for API operations

[Copilot]

The repositories parameter should be added to the create-github-app-token action configuration to limit the token scope. Other workflows in this repository (e.g., .github/workflows/lock-release.yml) follow the pattern of including repositories: react when specifying owner: primer. This follows the principle of least privilege by restricting the token to only the necessary repository.

Suggested addition:

with:
  app-id: 902635
  owner: 'primer'
  repositories: react
  private-key: ${{ secrets.PRIMER_INTEGRATION_APP_PRIVATE_KEY }}

Suggested change

	owner: 'primer'
	owner: 'primer'
	repositories: react