ci: add lain architecture health badge

[spuentesp]

Plug-and-play demo of spuentesp/lain/.github/actions/lain-health-badge. Adds a single workflow that boots a local lain server against the PR's workspace, calls get_health and architectural_observations, and posts the result as a sticky PR comment plus a lain/health-badge commit status.

Five lines of workflow + permissions. No lain-specific config in this repo beyond the uses: ref. Pinned to d4b81cd on lain's main; consumers can move to a tagged release when v0.7.3 ships.

[chatgpt-codex-connector]

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Reviewed commit: 3e317786f1

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[chatgpt-codex-connector]

Trigger health checks for main PRs

When a PR targets main—the repository's active integration branch—this filter prevents the workflow from starting, so it never emits its architecture status or sticky comment. Existing CI workflows explicitly cover main (for example, .github/workflows/ci.yml:4-6); add main to this filter (or remove the target-branch restriction) so the new check runs on normal PRs.

Useful? React with 👍 / 👎.

[Copilot]

🟡 Changes recommended

The workflow as written is likely to fail (missing contents: read for checkout) and may not run on PRs targeting main due to an overly restrictive branch filter.

Once you've addressed the issues Copilot identified, you can request another Copilot review.

Pull request overview

Adds a new GitHub Actions workflow to run the upstream spuentesp/lain/.github/actions/lain-health-badge composite action on pull requests, producing an architecture-health sticky PR comment and a lain/health-badge commit status.

Changes:

• Introduces .github/workflows/lain-health.yml to run the Lain health badge action on PRs.
• Grants workflow-level permissions intended for posting commit statuses and PR comments.

File summaries

File	Description
.github/workflows/lain-health.yml	New PR-triggered workflow wiring in the upstream Lain health badge action with status/comment permissions.

Review details

• Files reviewed: 1/1 changed files
• Comments generated: 3
• Review effort level: Lite

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[github-actions]

Architecture health

Computed by lain — thresholds: min-fan-out=15

Server health

## Lain Server Health

- **Workspace:** /home/runner/work/monitor_dm_system/monitor_dm_system
- **Build:** 0.7.2 (518090f)
- **Status:** Operational ✅
- **Static Nodes:** 9937
- **Static Edges:** 26806
- **Volatile Nodes (Overlay):** 0
- **Last Enriched Commit:** 58fb83b0135370ba943889868fe5dd6dcff6475f (current)
- **NLP Model:** Not loaded (semantic search unavailable)

### Edge counts by type
- **Calls**: 9147
- **CallsHttp**: 4
- **Contains**: 14036
- **Pattern**: 200
- **Uses**: 3419

### Language Support
- **clangd**: ❌ (Missing)
- **omnisharp**: ❌ (Missing)
- **gopls**: ❌ (Missing)
- **jdtls**: ❌ (Missing)
- **typescript-language-server**: ✅
- **kotlin-language-server**: ❌ (Missing)
- **pylsp**: ✅
- **solargraph**: ❌ (Missing)
- **rust-analyzer**: ✅
- **metals**: ❌ (Missing)
- **svelte-language-server**: ❌ (Missing)
- **sourcekit-lsp**: ❌ (Missing)
- **volar**: ❌ (Missing)

Architectural observations (fan-out >= 15)

## Architectural Observations

*This report shows potential architectural patterns and boundaries.*

### High Fan-Out Modules

*Modules referencing 15 or more other modules*

No modules found exceeding fan-out threshold.
### Cross-Boundary Patterns

*Semantic boundaries detected via shared path prefixes and topic names*

| Boundary Pair | Shared Files |
| :--- | :--- |
| `packages/ui/backend/tests <-> packages/data-layer/tests/test_tools` | 4 |
| `packages/ui/backend/tests <-> packages/data-layer/src/monitor_data/tools/mongodb_tools` | 4 |
| `packages/ui/backend/src/monitor_ui/routers <-> scripts` | 4 |
| `packages/cli/src/monitor_cli/commands <-> scripts` | 3 |
| `scripts <-> packages/ui/backend/src/monitor_ui/routers` | 3 |
| `tests/contracts <-> packages/ui/backend/src/monitor_ui/routers` | 3 |
| `packages/data-layer/tests/test_tools <-> packages/ui/backend/src/monitor_ui/routers` | 3 |
| `packages/ui/backend/src/monitor_ui/routers <-> packages/data-layer/tests` | 3 |
| `packages/data-layer/src/monitor_data/tools/mongodb_tools <-> packages/ui/backend/src/monitor_ui/routers` | 3 |
| `packages/ui/frontend/e2e <-> packages/ui/frontend/src/app/forge` | 3 |

### Summary

- **1893** files analyzed
- **0** high fan-out modules detected
- **32** cross-boundary patterns detected

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*Observations are orientative - they indicate potential patterns that may warrant architectural review.*