fix: restore / update PR check actions

[vitaliy-guliy]

What does this PR do?

Restores/updates previously removed action to publish che-code and che-dev images for pull requests that has been made from a fork.

Do not pay attention on huge amount of commits. They will be squashed when merging.

What issues does this PR fix?

eclipse-che/che#22660

How to test this PR?

It is enough to

• just review the new pull request check providing by this PR
• check the action is successful https://github.com/che-incubator/che-code/actions/runs/9515306786
• check the action from this pull request 370 is triggered and completed successfully https://github.com/che-incubator/che-code/actions/runs/9516072006
• check the corresponding images were built and a new comment is added to the current PR fix: restore / update PR check actions #371 (comment)

Does this PR contain changes that override default upstream Code-OSS behavior?

• the PR contains changes in the code folder (you can skip it if your changes are placed in a che extension )
• the corresponding items were added to the CHANGELOG.md file
• rules for automatic git rebase were added to the .rebase folder

[github-actions]

Click here to review and test in web IDE:

[github-actions]

Pull Request images published ✨

Editor: quay.io/che-incubator-pull-requests/che-code:pr-371-amd64
Dev image: quay.io/che-incubator-pull-requests/che-code-dev:pr-371-dev-amd64