Stuck at "Job is waiting for a runner from 'runner-name' to come online" in DinD-mode

[paranerd]

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

0.9.1

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

1. Installed ARC as per [these instructions](https://docs.github.com/en/actions/hosting-your-own-runners/managing-self-hosted-runners-with-actions-runner-controller/quickstart-for-actions-runner-controller#installing-actions-runner-controller)
1. Deployed a runner as per [those instructions](https://docs.github.com/en/actions/hosting-your-own-runners/managing-self-hosted-runners-with-actions-runner-controller/quickstart-for-actions-runner-controller#installing-actions-runner-controller)
    - Basically just downloaded the official [values](https://github.com/actions/actions-runner-controller/blob/master/charts/gha-runner-scale-set/values.yaml) to `my-values.yaml`
    - Uncommented lines 78+79 (`containerMode`)
    - Uncommented lines 114-158 (`template.spec`)
    - Set `--values "my-values.yaml`
- Installed via Helm
- Runner shows up in GitHub
- Running a job gets stuck in the above mentioned state

Describe the bug

When trying to host a DinD container, the runner shows up in GitHub but when trying to run jobs on it, it just gets stuck waiting.

Deploying a "regular" controller works as expected, though.

Describe the expected behavior

The DinD container should pick up available jobs and run them.

Additional Context

githubConfigUrl: ""

githubConfigSecret:
  github_token: ""

containerMode:
  type: "dind"

template:
  spec:
    initContainers:
    - name: init-dind-externals
      image: ghcr.io/actions/actions-runner:latest
      command: ["cp", "-r", "-v", "/home/runner/externals/.", "/home/runner/tmpDir/"]
      volumeMounts:
        - name: dind-externals
          mountPath: /home/runner/tmpDir
    containers:
    - name: runner
      image: ghcr.io/actions/actions-runner:latest
      command: ["/home/runner/run.sh"]
      env:
        - name: DOCKER_HOST
          value: unix:///var/run/docker.sock
      volumeMounts:
        - name: work
          mountPath: /home/runner/_work
        - name: dind-sock
          mountPath: /var/run
    - name: dind
      image: docker:dind
      args:
        - dockerd
        - --host=unix:///var/run/docker.sock
        - --group=$(DOCKER_GROUP_GID)
      env:
        - name: DOCKER_GROUP_GID
          value: "123"
      securityContext:
        privileged: true
      volumeMounts:
        - name: work
          mountPath: /home/runner/_work
        - name: dind-sock
          mountPath: /var/run
        - name: dind-externals
          mountPath: /home/runner/externals
    volumes:
    - name: work
      emptyDir: {}
    - name: dind-sock
      emptyDir: {}
    - name: dind-externals
      emptyDir: {}

Controller Logs

https://gist.github.com/paranerd/d41dd1de26c3c18c67ae179f41afb67b

Runner Pod Logs

I don't have those as the runner never even starts in the first place.

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