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There's no limit - the saves will stay there until you delete them. Steam is pretty easy to install on chromebooks right now (see this video: https://www.youtube.com/watch?v=IGWRD_U9FSs ), and it will install all dependencies needed to run Aground - so it might be easier to install using steam than trying to run the linux executable directly (you should have a steam key with your itch.io purchase).