So I branched the project and made a build in compatibility mode so it could be exported to web but sadly the game simply doesn't function with its current design and Godot 4's current web limitations.

Not only are shadows non-existent, but the VisibleOnScreenNotifier3D node completely disabled in compatibility mode. Interestingly the blue reflectors work exactly the opposite of how they're supposed to in HTML.

In any case I wanted to upload it so folks could take a look before downloading it if they wanted to. Hopefully some of these issues get ironed out in the newer releases of Godot. If so I'll rebuild and reupload the project!