Runner Group Name Missing from GitHub Actions Setup Logs in Recent Runs

Describe the bug
We have observed that the "Runner group name" is no longer displayed in the GitHub Actions setup logs for our self-hosted runners. This information was previously present and is important for troubleshooting and auditing purposes.

To Reproduce
Steps to reproduce the behavior:

1. Configure and register a self-hosted runner in a specific runner group.
2. Trigger a workflow that uses this runner.
3. Review the setup logs for the job.

Expected behavior
The setup logs should include the "Runner group name" as they did previously, for example:
2025-06-05T20:49:05.4042038Z Runner group name: 'XYS-us-linux'

Actual behavior:
The "Runner group name" line is missing from the logs. Only the runner name and machine name are shown.

Sample Logs:

Old Logs (with runner group name):

2025-06-05T20:49:05.4033435Z Current runner version: '2.325.0'
2025-06-05T20:49:05.4041116Z Runner name: 'XYS-asd-runner-cw98p'
2025-06-05T20:49:05.4042038Z Runner group name: 'XYS-us-linux'
2025-06-05T20:49:05.4043117Z Machine name: 'XYS-l9z7k-runner-cw98p'

New Logs (runner group name missing):

2025-06-03T16:08:35.4229033Z Current runner version: '2.325.0'
2025-06-03T16:08:35.4236059Z Runner name: 'XYS-r7k5s-runner-6p5w9'
2025-06-03T16:08:35.4237033Z Machine name: 'XYS-r7k5s-runner-6p5w9'
2025-06-03T16:08:35.4240752Z ##[group]GITHUB_TOKEN Permissions

Runner Version and Platform

Version of your runner?

Runner Version: 2.325.0

OS of the machine running the runner? OSX/Windows/Linux/...

What's not working?

The runner group name is not displayed in the logs, making it harder to verify runner group assignment and troubleshoot issues.

Additional Context:
This change was noticed recently, no changes were made to our runner configuration or workflow files. Please advise if this is an intentional change or a bug. To see if the issue fixes we performed below actions but still issue is there
Updated to latest ARC and scaleset (0.12.0))
Runner image Upgraded to v2.325.0

Start with the GitHub Actions runner setup logs and the reproduction steps for a self-hosted runner assigned to a runner group. Compare the old and new log samples while running runner version 2.325.0 on the reported platform. Done means establishing whether the group-name line should be restored or confirming that its absence is intentional.