I want to use some panels available in the template projects in a new project I am creating. How do I do that?
Currently, there is no such option to duplicate panels between projects. Maybe Adobe will add that feature in upcoming releases.
But still you may try this way: Use other project panels by copy that project and keep the panels you want to use in a new project and create new panels to the same project.
You can open a template, remove any unwanted components, then click Save As. This will allow you to save this project with the project components you want to keep.