feat(#1290): show per-agent loose-end question count in dashboard

Add a '❓ N' badge to each container row showing the count of pending
questions where the agent is the asker (awaiting an answer) or the
target (owes a reply). Derived live from questionsState — no backend
field needed.

Details:
- New .badge-loose-ends CSS class (purple, matching Q33R1ES section colour)
- Badge tooltip breaks down the count: 'N asked, N to answer'
- renderContainersFromState() called on QuestionAdded/QuestionResolved
  so the badge updates instantly when question state changes
- Existing ⏰ reminders badge kept separate (different signal)

frontend/packages/dashboard/src/common.css

@@ -78,6 +78,10 @@ code {
   color: var(--cyan); border-color: var(--cyan);
   text-shadow: 0 0 6px rgba(137, 220, 235, 0.4);
 }
+.badge-loose-ends {
+  color: var(--purple); border-color: var(--purple);
+  text-shadow: 0 0 6px rgba(203, 166, 247, 0.4);
+}
 /* Context-window usage badges on dashboard container rows. */
 .badge-ctx-ok {
   color: var(--green); border-color: var(--green);

frontend/packages/dashboard/src/tabs.js

@@ -805,6 +805,26 @@ window.marked = marked;
           },
           `⏰ ${c.pending_reminders}`));
       }
+      // Pending questions where this agent is the asker (awaiting an
+      // answer) or the target (owes a reply). Derived live from
+      // questionsState so the badge updates instantly on QuestionAdded /
+      // QuestionResolved without a separate backend field.
+      const agentQCount = questionsState.pending.filter(
+        (q) => q.asker === c.name || q.target === c.name,
+      ).length;
+      if (agentQCount > 0) {
+        const askerCount  = questionsState.pending.filter((q) => q.asker  === c.name).length;
+        const targetCount = questionsState.pending.filter((q) => q.target === c.name).length;
+        const parts = [];
+        if (askerCount  > 0) parts.push(`${askerCount} asked`);
+        if (targetCount > 0) parts.push(`${targetCount} to answer`);
+        head.append(el('span',
+          {
+            class: 'badge badge-loose-ends',
+            title: `pending questions: ${parts.join(', ')} — see the Q33R1ES tab`,
+          },
+          `❓ ${agentQCount}`));
+      }
       if (c.ctx_tokens != null) {
         const k = Math.round(c.ctx_tokens / 1000);
         // Thresholds track the model's real context window when the
@@ -1459,6 +1479,7 @@ window.marked = marked;
       question_refs: ev.question_refs || [],
     });
     renderQuestions();
+    renderContainersFromState();
   }
   function applyQuestionResolved(ev) {
     const idx = questionsState.pending.findIndex((q) => q.id === ev.id);
@@ -1488,6 +1509,7 @@ window.marked = marked;
       }
     }
     renderQuestions();
+    renderContainersFromState();
   }
   // Filter selection for the questions section. Persisted so the
   // operator's preferred view (all / operator-targeted / peer)