Fix analysis display for recipe-based runs

Add get_run_analysis() to RunService to load per-input analysis from
CACHE_DIR/analysis/{hash}.json files. Update runs router and template
to display tempo, beats, energy, and beat timeline visualization.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

app/routers/runs.py

@@ -172,9 +172,10 @@ async def run_detail(
     if not run:
         raise HTTPException(404, f"Run {run_id} not found")
 
-    # Get plan and artifacts
+    # Get plan, artifacts, and analysis
     plan = await run_service.get_run_plan(run_id)
     artifacts = await run_service.get_run_artifacts(run_id)
+    analysis = await run_service.get_run_analysis(run_id)
 
     # Build DAG elements for visualization
     dag_elements = []
@@ -208,6 +209,7 @@ async def run_detail(
             "run": run,
             "plan": plan,
             "artifacts": artifacts,
+            "analysis": analysis,
         }
 
     templates = get_templates(request)
@@ -215,6 +217,7 @@ async def run_detail(
         run=run,
         plan=plan,
         artifacts=artifacts,
+        analysis=analysis,
         dag_elements=dag_elements,
         user=ctx,
         active_tab="runs",