Does Minecraft run on Linux?
Yes. Mojang offers Minecraft for Linux.
The official launcher for Linux installs Java Edition; Bedrock Edition has no Linux version.
How to play Minecraft on Linux
Download the official launcher from Mojang’s website, or install it from Flathub with “flatpak install flathub com.mojang.Minecraft”.
Sources
Minecraft on Linux: common questions
Does Minecraft run on Linux?
Yes. Mojang offers Minecraft for Linux.