gha-runner-scale-set-0.13.1 installation fails with RunnerScaleSetNotFoundException

Checks

• I've already read https://docs.github.com/en/actions/hosting-your-own-runners/managing-self-hosted-runners-with-actions-runner-controller/troubleshooting-actions-runner-controller-errors and I'm sure my issue is not covered in the troubleshooting guide.
• I am using charts that are officially provided

Controller Version

0.13.1

Deployment Method

Helm

Checks

• This isn't a question or user support case (For Q&A and community support, go to Discussions).
• I've read the Changelog before submitting this issue and I'm sure it's not due to any recently-introduced backward-incompatible changes

To Reproduce

Install 0.12.1, then upgrade to 0.13.1

Describe the bug

After upgrade, listeners are not getting ready:

Application returned an error: createSession failed: failed to create session: failed to do the session request: actions error: StatusCode 404, ActivityID "xxx" Github.Actions.Runtime.WebApi.RunnerScaleSetNotFoundException, Github.Actions.Runtime.WebApi: No runner scale set found with identifier 22.

Describe the expected behavior

listener get ready and helm upgrade succeeds.

Additional Context

K8s 1.32
GHES 3.16

Controller Logs

.

Runner Pod Logs

.

Start by reproducing the Helm upgrade from 0.12.1 to 0.13.1 on Kubernetes 1.32 with GHES 3.16, then examine the listener failure and RunnerScaleSetNotFoundException. Done means the listeners become ready and the Helm upgrade succeeds.