ci: `check-template-and-add-labels` remains on a pending state and needs to be re-triggered

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### What is this about?

`check-template-and-add-labels` remains on a pending state.
The workaround for now seems to be to update the PR description or add/remove any label, for the job to be re-triggered and then work.

Example: https://github.com/MetaMask/metamask-extension/pull/33817

### Scenario

_No response_

### Design

_No response_

### Technical Details

_No response_

### Threat Modeling Framework

_No response_

### Acceptance Criteria

_No response_

### Stakeholder review needed before the work gets merged

- [ ] Engineering (needed in most cases)
- [ ] Design
- [ ] Product
- [ ] QA (automation tests are required to pass before merging PRs but not all changes are covered by automation tests - please review if QA is needed beyond automation tests)
- [ ] Security
- [ ] Legal
- [ ] Marketing
- [ ] Management (please specify)
- [ ] Other (please specify)

### References

_No response_

Start by inspecting the check-template-and-add-labels workflow and reproduce the pending state using the linked example PR, metamask-extension/pull/33817. Compare its behavior with the workaround of editing the PR description or changing a label. Done means the check runs without requiring a PR or label change and no longer remains pending.

Written by the indexing model from the issue text.