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You can get the latest stable version of Godot by visiting the main website, click on the link "Godot Official" at the top right of this page, near the link to the Docs and the Donate pages of the engine.
However, if you want the latest and greatest build, you can download the binaries from one of the links below! Bear in mind that these are 3rd party sources. If you choose to download and use them, you are doing so at your own discretion. You can always, of course, compile the source code yourself, it's up to you.
Links: Maintained by Godot Dev Calinou, includes Linux AppImages, feedback here. hugo.pro/projects/godot-builds/
Build by ifiregames, recommended to be used through itch.io app for automatic updates: ifiregames.itch.io/stern-flowers-chibifire-com-godot-engine
Tuxfamily.org: downloads.tuxfamily.org/godotengine/
User @hiulit has some RasPi builds on his github: https://github.com/hiulit/Unofficial-Godot-Engine-Raspberry-Pi
If anyone knows of any extra sources, please reply below, let's keep this list updated.