I like the web UI as well, but since i use an iPhone i wasn’t really able to be able to set up the browser with the cert
One thing you can do (that I have in the corporate) is to setup a reverse proxy in front of the WebUI and have it manage user authentication. Essentially nginx authenticates users against the company Keycloak IdP that provides SSO and whatnot. You can do with a simple HTTP basic auth or some simpler solution like phpAuthRequest.