WebGPU is experimental in Firefox all platforms, but especially on Linux. Chrome on linux should have it, but I've not gotten it to work - might be chromium, might be a flag, or something else.
Here's more info on the status of WebGPU: https://github.com/gpuweb/gpuweb/wiki/Implementation-Status
Everywhere where Chrome runs is an experimental API.
On Firefox and Safari, who knows when they will ever get out of preview API, and in what platforms, especially on Firefox's case.
WebGL 2.0 took about a decade to reach a wide enough audience, and WebGPU isn't yet widely available since the whole effort started in 2016.
This is why most companies are either doing native or streaming for 3D content.
https://developer.chrome.com/blog/new-in-webgpu-121
Now, when will it become available so that non technical people will actually able to use it, no idea.