actions: Update release workflow to trigger on push events

[AdamJ]

Summary

Update the release workflow to trigger on push events, rather than only merge events. Skip the self-triggered runs caused by the workflow's own version-bump commit, while avoiding the release-loop issue. Anything tagged as fix now maps to a patch release.

Type of Change

• New feature
• Update to existing feature
• Bug fix
• Documentation update
• Other (describe below)

Related Issue

Closes #

Changes Made

• workflows/release.yml

Checklist

Complete all items that apply to your change. Check N/A for items that don't apply.

Documentation

Run sync-docs skill with Claude Code to automatically update relevant files.

• Any notable changes added to the README.md
• CHANGELOG.md updated accordingly
• N/A — no README changes

General

• Branch is up to date with main
• No unrelated files included in this PR
• Tested locally by invoking the npm run test, npm run lint, and npm run build

Notes for Reviewers