Specifically, an html export hosted on itch.zone, which uses an external server for multiplayer among players on itch.io. The external server software could also be downloaded and run locally for LAN play by local web clients of the server.
itch has changed in domains for the CORS , try to enable Experimental SharedArrayBuffer Support, add here some details if you have succeed to to host and play from WebGL browser to browser in Lan. UDP/ CORS: https://itch.io/t/2025776/experimental-sharedarraybuffer-support