How to publish an organization repository in Github using VSCode

Workaround for the lack of functionality:

You can add your project to a local repository by pressing “Initialize Repository” in your “Source Control” tab.

After that, go to Github and make a new empty organisation repository.

Now you can hit F1 and type “Add Remote”. You can now choose “Git: Add remote…” and then paste the repository’s URL, instead of adding from Github.

Now committing and pushing should work as expected.