[self-care:open-source-failures] Fix repeated safe-output processing failures in githubnext/gh-aw-cao

`githubnext/gh-aw-cao` has a recurring safe-output processing failure affecting 13 runs across 5 workflows, indicating a shared output-processing problem rather than a single workflow-specific defect.

**Action:** CAO maintainers should isolate and fix the shared safe-output failure path first; accept when fresh runs of the affected workflows finish `safe_outputs` successfully without `Process Safe Outputs` failures.

Critical findings:
- Repository: `githubnext/gh-aw-cao`
- Severity: `P1`
- Normalized signature: `Process Safe Outputs`
- Affected workflows: `.github/workflows/pr-sous-chef.lock.yml`, `.github/workflows/self-care-dashboard-performance.lock.yml`, `.github/workflows/self-care-data-acquisition-audit.lock.yml`, `.github/workflows/software-development-practices-github-well-architected.lock.yml`, `.github/workflows/dependabot-release-train-updater.lock.yml`
- Run count in bounded snapshot: `13`
- Representative run: https://github.com/githubnext/gh-aw-cao/actions/runs/33969086540
- Probable cause: more evidence required; bounded snapshot supports a shared safe-output processing failure but does not identify the exact root cause
- Confidence: medium

Agent prompt
Investigate the shared `safe_outputs` failure path used by the listed workflows. Compare the accepted payload shape, routing, and workflow-level safe-output calls for the representative failures, identify the narrowest common defect, implement the smallest safe fix, and confirm with fresh runs that complete the `Process Safe Outputs` step successfully in at least two previously failing workflows.

Evidence

Representative runs from the bounded snapshot:
- https://github.com/githubnext/gh-aw-cao/actions/runs/33969086540
- https://github.com/githubnext/gh-aw-cao/actions/runs/33969059901
- https://github.com/githubnext/gh-aw-cao/actions/runs/33968948561
- https://github.com/githubnext/gh-aw-cao/actions/runs/33963453396
- https://github.com/githubnext/gh-aw-cao/actions/runs/33968716482

The strongest evidence was repeated failure at `safe_outputs` → `Process Safe Outputs` across multiple workflows. The bounded snapshot does not expose the downstream error text, so root cause remains unconfirmed.

### Control Plane
- Correlation ID: `33971819942-226`
- Central repository: `githubnext/gh-aw-cao`
- Control plane run URL: `https://github.com/githubnext/gh-aw-cao/actions/runs/33971819942`

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> - [x] expires on Sep 19, 2026, 2:35 PM UTC

Start with the representative run and compare the safe_outputs and Process Safe Outputs steps across the five listed workflow files. Trace the shared safe-output processing path and accepted payload shape, then identify the narrowest common defect. Done means fresh runs in at least two previously failing workflows complete safe_outputs successfully without Process Safe Outputs failures.

Written by the indexing model from the issue text.