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Android shouldn't be a zip package, but an apk. This article details the steps to sideload an APK onto your Android device: https://www.greenbot.com/article/2452614/how-to-sideload-an-app-onto-your-android-phone-or-tablet.html

I mean I often download apks without issue, but the one I get when I click this game download is labelled. zip

Ah right. Seems itch.io automatically zips Android packages when uploading to their server. I'm not sure how to handle zip packages on Android, but you could try downloading from my own website: https://perverteer.com/downloads/ You can download the straight APK from there.