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/frontend/src/views/ProjectView.vue

@@ -109,6 +109,18 @@ async function addTask() {
   }
 }
 
+async function runTask(taskId: string, event: Event) {
+  event.preventDefault()
+  event.stopPropagation()
+  if (!confirm(`Run pipeline for ${taskId}?`)) return
+  try {
+    await api.runTask(taskId)
+    await load()
+  } catch (e: any) {
+    error.value = e.message
+  }
+}
+
 async function addDecision() {
   decFormError.value = ''
   try {
@@ -202,6 +214,12 @@ async function addDecision() {
           <div class="flex items-center gap-2 text-xs text-gray-600 shrink-0">
             <span v-if="t.assigned_role">{{ t.assigned_role }}</span>
             <span>pri {{ t.priority }}</span>
+            <button v-if="t.status === 'pending'"
+              @click="runTask(t.id, $event)"
+              class="px-2 py-0.5 bg-blue-900/40 text-blue-400 border border-blue-800 rounded hover:bg-blue-900 text-[10px]"
+              title="Run pipeline">&#9654;</button>
+            <span v-if="t.status === 'in_progress'"
+              class="inline-block w-2 h-2 bg-blue-500 rounded-full animate-pulse" title="Running"></span>
           </div>
         </router-link>
       </div>