Workspace specific tags issue

Hi, I have "production" workspace and 2 workers group.
I want one to have "prod(production)" tag and work only for production instance. So, I've added it in docker-compose.yml and after to "custom tags". But when I select this tag in some flow, I see it like "prod" tag, and after starting the flow, there are message "No workers with tag "prod" are running" . Can you please help with that?