[TASK] Upgrade action to support Node.js 24 runtime

[c-vigo]

Description

GitHub Actions is deprecating Node.js 20 runners. Starting June 2, 2026, actions will be forced to run with Node.js 24 by default.

This action is currently running on Node.js 20 and needs to be updated to support Node.js 24.

Reference: https://github.blog/changelog/2025-09-19-deprecation-of-node-20-on-github-actions-runners/

Acceptance Criteria

• Update action.yml to use node24 runtime
• Update dependencies for Node.js 24 compatibility
• Test action on Node.js 24
• Release new version with Node.js 24 support

Implementation Notes

• Update runs.using in action.yml from node20 to node24
• Run tests with Node.js 24 to identify breaking changes

Priority

High

[c-vigo]

See also vig-os/sync-issues-action#77 — same Node.js 24 upgrade needed there. Resolution should be similar.