Specifying Dashboard label / hierarchy for Triggered Tasks via REST API

Under normal pipleine excution, where a parent pipeline calls multiple child pipelines, the Dashboard shows the entire execution as one expandable folder, like so:

• Primary Pipeline
  • Secondary Pipeline 1
    • Tertiary Pipeline 1
    • Tertiary Pipeline 2
  • Secondary Pipeline 2
    etc…
    And we know we can specify the Execution Label on each Pipeline Execute Snap so that “Tertiary Pipeline 1” could be displayed as “Log Pipeline (Tertiary Pipeline 1)”

However, if we change our architecture to instead call each child as a REST API Triggered Task, the dashboard no longer represents the hierarchy, as each execution is its own separate instance and in reverses calling order like so:

• Secondary Pipeline 2
• Tertiary Pipeline 2
• Tertiary Pipeline 1
• Secondary Pipeline 1
• Primary Pipeline

We were wondering if there is anyway a pipeline can set it’s own execution label as one of it’s executing parameters?

For example, if we had a unique session key, each pipeline could modify it’s execution label to include the session ID like so:

• SESSION A Secondary Pipeline 2
• SESSION A Tertiary Pipeline 2
• SESSION A Tertiary Pipeline 1
• SESSION A Secondary Pipeline 1
• SESSION A Primary Pipeline

Thank you!