ci: dispatch required checks for bump PR commits

[anand-testcompare]

Summary

• add workflow_dispatch trigger to Check so it can be dispatched against bump-PR branches
• add workflow_dispatch trigger to ValidatePrTitle with pr_title input for deterministic title validation
• after bump PR creation/update in publish-package.yml, dispatch both required-check workflows on the bump branch
• add actions:write permission to publish workflow to allow workflow dispatch API calls
• update RELEASE.md to document the fallback behavior when GH_PAT is unavailable

Why

Bump PR commits pushed by workflow token can miss required PR checks (Check, ValidatePrTitle) and become blocked even though the branch is valid.

Validation

• bun run check
• bun run typecheck
• bun test
• bun run build