I am trying to setup.
- When you create a pull request from a forked repository to the base repository, GitHub sends the pull_request event to the base repository and no pull request events occur on the forked repository.
Please refer to official doc for more details.
Push event will be triggered in one repository, you cannot trigger push event from forked repository.
If you’d like to monitor the event in another repository, please check my answer in this link.
Hope it helps!