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They are stored in ´appdata`, so you can just delete the old version and download the new version. :)

Are you sure about that?
On my machine the saves are in "\game\saves" subfolder, relative to Harem_Hotel.exe 


Yeah, but those are ´´local`` saves. Every time you save something in your computer, the computer also makes a back-up save in the ´´appdata`` section.

Thanks, you're right.
%AppData%\RenPy\Harem Hotel-1520575859 
There they are indeed.
Would have never looked them up since there were the local ones in Game Folder. 
Always good to know whats going on on my machine.