a blazer web assembly app is a static website. it requires a Web server to host it. so to deploy to docker container, you need to pick a container with web server support (typically ngnix), and copy the wwwroot folder to a location folder defined in the webserver.
the default docker public assumes you are building a .net core app.
assuming you are in the built wwwroot folder, create a docker file like:
FROM nginx:alpine
COPY . /usr/share/nginx/html
that should do it. if you google, you could create a script to build and deploy. if you add a Dockerfiles you can run from the project file.