I want to use some panels available in the template projects in a new project I am creating. How do I do that?
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.
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.