Here's an in-depth guide on how to join LivesMC.
To start, open up Minecraft Launcher. Make sure that you see your Microsoft username at the top left of your screen to show you that you are logged into the right account. If you don't see this, pause, log in, and then keep reading.
Then, it should automatically be set to the “Lastest release” installation.

If you do not see the latest installation, join on a version that is above 1.21 or click on the dropdown and click the latest release.
Then, just hit play! Once your game has finished loading and downloading any server updates it needs, you should be at this screen. If you've never played this installation, you may have to hit “OK” or “Next”:

Then, click the Multiplayer button.

You may need to click “Proceed”:

You may encounter a list of servers you've joined before, or you'll just see a background with a few button options. Click “Add Server” and type these values:

Then, click “Done" and double click the server in the server list! Voila, you've joined LivesMC!
Have fun!