In order to move configured service from BI project "A" to "B":
1. go to BI project "A" page → Connections tab and unbind Google Analytics property and / or Google Cloud Platform project that you want to move,
2. go to BI project "B" page → Connections tab and bind them,
3. Check that the configured service is active and can be seen within the project's "B" list,
4. if the service is blocked - follow the steps specified in the notification popup.
After unbinding a connection all the related paid services will be blocked until binding this property / GCP project to a new BI project and actualizing its billing plan information.