Standardize docs automation and CI utility baseline

[cmccomb]

Summary

Align design-research documentation helpers, badge generation, and CI utility scripts with the shared design-research docs automation baseline.

Current state

• This repo currently has docs consistency and docstring checks, but not the richer badge-generation and example-reporting utilities present in some sibling repos.
• As the umbrella package, it should have a deliberate answer for which automation is shared baseline and which utilities are module-specific.

Proposed work

• Define the shared docs/CI utility baseline for the umbrella package.
• Add or adapt missing badge-generation and related docs utilities where they make sense here.
• Normalize workflow responsibilities for docs checks, badge updates, and release-facing documentation surfaces.
• Document any utilities that should remain specific to component repos rather than the umbrella package.

Acceptance criteria

• The repo matches the agreed shared baseline for docs/CI utilities.
• Any intentionally omitted utilities are documented with rationale.
• The umbrella repo's docs automation no longer lags the module repos.