You don't need the MEGA app to download a public link on your phone. Here's how to do it in mobile Safari or Chrome.
On mobile, MEGA repeatedly prompts you to install its app to continue. For a public link you're entitled to, you can skip that entirely and download in your phone's browser.
Open Clonr in Safari or Chrome, paste the MEGA link, pass the bot check, and hit Clone. Browse the files, preview images and video inline, and download straight to your phone. No app, no account.
Yes, in Safari or any mobile browser. Same for Android.
To your browser's normal downloads location, like any other file you download on the web.