Release the repository from CI

[psmyrek]

Suggested merge commit message (convention)

Internal: Redesign the release process to allow it to be processed from CircleCI.

---

Additional information

• Part of https://github.com/cksource/ckeditor5-internal/issues/3710.
• Requires: https://github.com/ckeditor/ckeditor5-dev/pull/969.

[pomek]

In a3a3108977327c689c383e88db185b741dc1a737, we pushed a small improvement on CI:

vs (current master)