not an expert with gdrive like you, but i did try, does not work, get 404 as i would expect.
ERROR : file.ext: Failed to copy: googleapi: Error 404: File not found:, notFound
and then i followed https://www.makeuseof.com/tag/transfer-files-google-drive-accounts/
and tried the same exact command and now it works.
rclone copy edu:source personal:dest --drive-server-side-across-configs -vv
DEBUG : rclone: Version "v1.60.0" starting with parameters ["C:\\data\\rclone\\rclone_1.60.0.exe" "copy" "edu:source" "personal:dest" "--drive-server-side-across-configs" "-vv"]
DEBUG : Creating backend with remote "edu:source"
DEBUG : Creating backend with remote "personal:dest"
DEBUG : file.ext: md5 = f6a70a3c0f7711e6a9d7e2b539b6264f OK
INFO : file.ext: Copied (server-side copy)
INFO :
Transferred: 2 GiB / 2 GiB, 100%, 0 B/s, ETA -
Transferred: 1 / 1, 100%
Elapsed time: 2.5s