Add GitHub Actions workflow for private composer releases

[throttlehead-dev]

Summary

This pull request introduces a new GitHub Actions workflow for automating Composer package releases for private repositories. The workflow handles version bumping based on branch naming conventions, generates a GitHub App token for authentication, and triggers a downstream workflow in a private package repository.

Key changes in the new workflow:

Release automation and versioning:

• Adds a workflow (_private_composer_gh_auto_release.yaml) that determines the type of semantic version bump (major, minor, patch) based on the branch name (e.g., major/, minor/, patch/, etc.), and calculates the next version accordingly.
• Retrieves the latest release version using the GitHub CLI and prepares the new version for release.

Authentication and environment setup:

• Generates a GitHub App token for secure operations such as checking out the repository and interacting with the GitHub API.
• Sets up the PHP environment and caches Composer dependencies for faster builds.

Release and downstream workflow triggering:

• Triggers a workflow in a specified private package repository after the release process completes.

Notes

• I'm around 95% certain this workflow is feature complete based on this most recent test of the code in the ai repo, but it's likely to need additional work once a real run is done.

[Copilot]

Pull request overview

This pull request adds a GitHub Actions workflow for automating private Composer package releases. The workflow extracts the branch name from PR or merge commits, determines semantic version bumps based on branch naming conventions (e.g., feature/ → minor, patch/ → patch), calculates the next version from the latest GitHub release, creates a Git tag and release, and triggers a downstream workflow in a private Composer registry repository.

Changes:

• Adds automated release workflow that determines version bumps from branch name patterns
• Implements GitHub App token-based authentication for release operations
• Sets up PHP/Composer environment and version management logic
• Triggers downstream workflow in private package repository after release

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