Dashboard should capture ring name from bedrock.yaml

[samiyaakhtar]

As a: developer

I want: the dashboard to display ring names I've configured in bedrock.yaml

So that: I can see the right ring name for services in the dashboard

Describe the solution you'd like:
Following the work on #1313, any branch can be associated with any ring name. Currently, the introspection script assumes that the branch name is ring name, which is going to change.

• Similar to get-display-name, add a command that extracts ring name from bedrock.yaml for the branch that pipeline is triggered for. Perhaps bedrock ring get-ring-name?
• Once this command is available in a bedrock-cli release, update the generated pipelines to consume this command in capturing data.

Acceptance Criteria:
Ring name is captured correctly in the dashboard

Describe alternatives you've considered:

Additional context:
#1313

Does this require updates to documentation?: Yes