chore(ci): Move monorepo to nx

[github-actions]

Note

The pull request "chore(ci): Move monorepo to nx" was created by @chargome but did not reference an issue. Therefore this issue was created for better visibility in external tools like Linear.

[WIP]

[linear]

JS-1722

[github-actions]

A PR closing this issue has just been released 🚀

This issue was referenced by PR #19325, which was included in the 10.40.0 release.