I am thinking of checking back in with Godot soon, cause there is a jam coming up that requires having a browser playable submission, and I am pretty scared to get something working then fail to setup emscripten. Hopefully the C# support is there, would make the process so much nicer.
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Found this article for the current code base of Godot (https://godotengine.org/article/platform-state-in-csharp-for-godot-4-2/) ... short version is that exporting to desktop (Win/Mac/Linux) is fully supported, mobile (Android/iOS) is functional but experimental, and web is not supported yet.
I'm gonna stick with GDScript for this project and then probably try Godot in C# for my next one!