Part A – Export a folder that will make a fresh “source” AE file with the comp, plus all assets
Part B – Import the new “source” AE file to your destination AE file
Important note! : Once you’ve completed Part B, AE will only have linked to, not copied, the assets from the source comp. It’s so annoying. To keep all your files in one place, the best thing to do is just repeat Part A for your destination AE file, then scrap the original destination AE and use this new destination AE folder as your main AE package.