Nothing makes your Mighty Network more your own than adding a Custom Domain. You can purchase a custom domain for your Mighty Network through Google Express Domains, from directly inside your Mighty Network.
Navigate to Network Settings > General Settings > scroll down to the Domain section. Here you’ll see an option to Purchase a New Domain:
Click ‘Purchase on Google’:
Search your desired domain on Google Domains:
Select your desired domain from the available options and purchase:
Upon following these steps, you’ll see a button to return to your Mighty Network and complete the domain setup process.
Once you've purchased your domain, it will automatically map to your network. You can find more information on linking your custom domain to Mighty Networks here.