How to Update bitwarden/web to latest version?

Completely started from scratch with my self-host server and now running the latest version of bitwarden/self-host:2024.4.1-beta. I would have thought this would bring the web version up to 2024.4.1 as well, however it does not. Does anyone know how to update bitwarden/web to the latest version within a docker container (or Portainer for that matter). I see manual update process for the server but not for web. Anyone had success with this?