If you don't need to change the name of the screen in the source aia project before copying the screen files to the destination aia project you may be interested in this shortcut:
You can open the source aia project that you are copying screens from in one instance of 7zip
and the destination aia project that you are copying screens to in another instance of 7zip.
Open both projects src folders all the way to the .scm,.yail and .blk files.
Then just drag the needed screen files from the source folder to the destination folder in the other 7zip instance.
Also copy any assets from the assets folder that your screen will need.
Close both 7zips and upload the destination aia project to AI2.