Let's limit the size of single push by imposing:

• 100 of files / per push, do not count 'deleted' files in push metadata, (do more pushes if hit) - ADDED/UPDATED
• max 10 GB of media file (not .gpkg) (sorry, not possible to fix) - ADDED/UPDATED
• max 5 GB of .gpkg (sorry, not possible, split manually into multiple gpkg files, e.g. in plugin) - ADDED/UPDATED no diff

And split the work into multiple pushes / files.