In order to download Arcane Legends to a computer, you have to use Google Chrome Web Store. You can simply access the Chrome Web Store from your Google Chrome browser and search for the game. Once you find it and click on it, you can see the option Add To Chrome on the top right corner of the window. Choosing this option, you can play the game from any computer via the Google Chrome browser.
An alternative that allows you to play Arcane Legends on a computer would be to install software that allows you to run Android games and applications on a PC. Examples of such software are Bluestacks and Andy Android emulator. You can search for the game from within these applications and, once you find it, you can see the option to download and install it on your system. This process seems to be more complex and redundant though, since you can simply access the game using Google Chrome browser.
Arcane Legends was developed by Spacetime Studios as a mobile game, mainly available for Android smartphones and tablets. However, since the launch, the game has also appeared in the Google Chrome Web Store, which allowed users to play it on a computer as well.