Full pipeline flow through web interface with live updates

API:
  POST /api/tasks/{id}/run — sets task to in_progress immediately,
    launches subprocess with error handling and logging.
  GET /api/tasks/{id}/running — checks pipelines table for active run.
  Fixed --db flag position in subprocess command.

TaskDetail (live pipeline):
  - Run button starts pipeline, auto-starts 3s polling
  - Pipeline cards update in real-time as agent_logs appear
  - Pulsing blue dot on header while in_progress
  - Spinner on run button during execution
  - Auto-stops polling when status changes from in_progress
  - Cleanup on component unmount (no leaked timers)

ProjectView (run from list):
  - [>] button on each pending task row
  - Confirm dialog before starting
  - Pulsing blue dot for in_progress tasks
  - Click task row → /task/:id with live view

Dashboard (live statuses):
  - Pulsing blue dot next to active task count
  - Auto-poll every 5s when any project has active tasks
  - Stops polling when no active tasks

5 new API tests (running endpoint, run sets status, not found).
141 tests total, all passing. Frontend builds clean.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

web/api.py

@@ -257,6 +257,24 @@ def reject_task(task_id: str, body: TaskReject):
     return {"status": "pending", "reason": body.reason}
 
 
+@app.get("/api/tasks/{task_id}/running")
+def is_task_running(task_id: str):
+    """Check if task has an active (running) pipeline."""
+    conn = get_conn()
+    t = models.get_task(conn, task_id)
+    if not t:
+        conn.close()
+        raise HTTPException(404, f"Task '{task_id}' not found")
+    row = conn.execute(
+        "SELECT id, status FROM pipelines WHERE task_id = ? ORDER BY created_at DESC LIMIT 1",
+        (task_id,),
+    ).fetchone()
+    conn.close()
+    if row and row["status"] == "running":
+        return {"running": True, "pipeline_id": row["id"]}
+    return {"running": False}
+
+
 @app.post("/api/tasks/{task_id}/run")
 def run_task(task_id: str):
     """Launch pipeline for a task in background. Returns 202."""
@@ -265,15 +283,22 @@ def run_task(task_id: str):
     if not t:
         conn.close()
         raise HTTPException(404, f"Task '{task_id}' not found")
+    # Set task to in_progress immediately so UI updates
+    models.update_task(conn, task_id, status="in_progress")
     conn.close()
     # Launch kin run in background subprocess
     kin_root = Path(__file__).parent.parent
-    subprocess.Popen(
-        [sys.executable, "-m", "cli.main", "run", task_id, "--db",
-         str(DB_PATH)],
-        cwd=str(kin_root),
-        stdout=subprocess.DEVNULL,
-    )
+    try:
+        proc = subprocess.Popen(
+            [sys.executable, "-m", "cli.main", "--db", str(DB_PATH),
+             "run", task_id],
+            cwd=str(kin_root),
+            stdout=subprocess.DEVNULL,
+        )
+        import logging
+        logging.getLogger("kin").info(f"Pipeline started for {task_id}, pid={proc.pid}")
+    except Exception as e:
+        raise HTTPException(500, f"Failed to start pipeline: {e}")
     return JSONResponse({"status": "started", "task_id": task_id}, status_code=202)