How can i update this game without losing data on mobile?
(On Android) open "my files" app, press "internal storage" then press "android", then "data", scroll till you find "harem.hotel" and press it. Copy all the save data in that folder either to a cloud storage or other storage area (eg. SD card) delete HH from your phone, download the latest version, install it, then follow the same path and put your saves back in the save folder. I don't have an iPhone so can't help you with that unfortunately.