Show in assist pipeline debug when intent is preferred and processed locally

[jpbede]

Proposed change

Show on the assist pipeline debug page if a run was processed locally and if the pipeline prefers local processing.

Core PR: home-assistant/core#132166

Type of change

• Dependency upgrade
• Bugfix (non-breaking change which fixes an issue)
• New feature (thank you!)
• Breaking change (fix/feature causing existing functionality to break)
• Code quality improvements to existing code or addition of tests

Example configuration

Additional information

• link to core PR: Track if intent was processed locally core#132166

Checklist

• The code change is tested and works locally.
• There is no commented out code in this PR.
• Tests have been added to verify that the new code works.

If user exposed functionality or configuration variables are added/changed:

• Documentation added/updated for www.home-assistant.io

[frenck]

Backend has been merged, pulling this one in as well.

../Frenck