Check whether your Chromebook supports the Google Play Store
Open the Google Play Store on your Chromebook
Search for Minecraft
Install Minecraft: Bedrock Edition if available
Sign in with your Microsoft account
Open Minecraft and log in
If Minecraft is not available in the Play Store, enable Linux on your Chromebook
Install Minecraft Launcher for Linux from the official Minecraft website
Open the Linux terminal and install the launcher package
Launch Minecraft from the app launcher
Sign in with your Microsoft account
If your Chromebook does not support Linux or Android apps, use Minecraft via cloud gaming or remote play from another device