feat(FN-3550): add pending approval badges to agent views and header

Added pending-approval badge indicators across the agent detail view, agents overview, mailbox, header, and mobile nav, wired through new and existing agent/mailbox APIs, with test coverage and documentation updates.

Fusion-Task-Id: FN-3550

docs/dashboard-guide.md

@@ -122,6 +122,7 @@ Mailbox view shows inbox/outbox communication threads and unread state.
 - clicking a message in the Mail tab opens the task detail pane with full message content and conversation context
 - reply rows in the mailbox modal can expand inline to show the replied-to message context for easier thread reading
 - mailbox now includes an **Approvals** tab with pending and history filters (`approved` / `denied` / `completed`), approval detail context, and inline approve/deny actions for pending requests
+- mailbox entry points now show pending-approval indicators: Header mailbox toggle dot, Header overflow mailbox badge, Mobile mailbox tab dot, and Mobile More → Mailbox badge
 - approval lifecycle SSE events (`approval:requested`, `approval:updated`, `approval:decided`) trigger mailbox approvals refresh without manual reload
 - Visible message history/threading is driven by explicit `message.metadata.replyTo.messageId` links
 - Separate top-level messages from the same sender remain independent in the inbox and detail pane
@@ -233,6 +234,12 @@ Memory view provides a multi-file editor for project and daily memory files.
 
 ## Agents View
 
+Agent list and detail surfaces now surface pending approvals per agent:
+- Agents list/board cards show a warning-colored pending-approval badge when `pendingApprovalCount > 0`
+- Agent detail summary shows a matching pending-approval badge for the selected agent
+- Approval SSE events refresh these indicators live (no page reload required)
+
+
 Agents view is the control surface for runtime agents and team structure.
 
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