Their advice seems to be use Godot 3 or wait until it gets fixed in the browsers.
See https://github.com/godotengine/godot/issues/70691 for details.
Doesn't support the new 4.0 renderer, this is being worked on too. Webgpu support: https://github.com/godotengine/godot-proposals/issues/6646 .
Main issues right now that I'm aware of.
https://editor.godotengine.org/releases/4.2.dev4/
That Ruffle project (for playing flash animations) seems to have developed good traction and is going well too.
Might be a good future possibility for Godot web playback. :)
https://docs.godotengine.org/en/stable/tutorials/export/expo...