feat: Add Remote TeleBot Discovery & Configuration

- Add discovery API endpoints to TeleBot (probe, initialize, configure, status)
- Add LivenessService for LittleShop connectivity monitoring with 5min shutdown
- Add BotDiscoveryService to LittleShop for remote bot management
- Add Admin UI: DiscoverRemote wizard, RepushConfig page, status badges
- Add remote discovery fields to Bot model (RemoteAddress, RemotePort, etc.)
- Add CheckRemoteStatus and RepushConfig controller actions
- Update Index/Details views to show remote bot indicators
- Shared secret authentication for discovery, BotKey for post-init

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

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

LittleShop/Areas/Admin/Views/Bots/Details.cshtml

@@ -128,6 +128,77 @@
             </div>
         </div>
 
+        @if (Model.IsRemote)
+        {
+            <div class="card mb-3 border-info">
+                <div class="card-header bg-info text-white">
+                    <h5 class="mb-0"><i class="fas fa-satellite-dish"></i> Remote Connection</h5>
+                </div>
+                <div class="card-body">
+                    <dl class="row mb-0">
+                        <dt class="col-sm-4">Remote Address</dt>
+                        <dd class="col-sm-8"><code>@Model.RemoteAddress:@Model.RemotePort</code></dd>
+
+                        <dt class="col-sm-4">Instance ID</dt>
+                        <dd class="col-sm-8"><code>@(Model.RemoteInstanceId ?? "N/A")</code></dd>
+
+                        <dt class="col-sm-4">Discovery Status</dt>
+                        <dd class="col-sm-8">
+                            @switch (Model.DiscoveryStatus)
+                            {
+                                case "Configured":
+                                    <span class="badge bg-success">@Model.DiscoveryStatus</span>
+                                    break;
+                                case "Initialized":
+                                    <span class="badge bg-info">@Model.DiscoveryStatus</span>
+                                    break;
+                                case "Discovered":
+                                    <span class="badge bg-warning">@Model.DiscoveryStatus</span>
+                                    break;
+                                case "Offline":
+                                case "Error":
+                                    <span class="badge bg-danger">@Model.DiscoveryStatus</span>
+                                    break;
+                                default:
+                                    <span class="badge bg-secondary">@Model.DiscoveryStatus</span>
+                                    break;
+                            }
+                        </dd>
+
+                        <dt class="col-sm-4">Last Discovery</dt>
+                        <dd class="col-sm-8">
+                            @if (Model.LastDiscoveryAt.HasValue)
+                            {
+                                @Model.LastDiscoveryAt.Value.ToString("yyyy-MM-dd HH:mm:ss")
+                            }
+                            else
+                            {
+                                <span class="text-muted">Never</span>
+                            }
+                        </dd>
+                    </dl>
+
+                    <hr />
+
+                    <div class="d-flex gap-2">
+                        <form asp-area="Admin" asp-controller="Bots" asp-action="CheckRemoteStatus" asp-route-id="@Model.Id" method="post" class="d-inline">
+                            @Html.AntiForgeryToken()
+                            <button type="submit" class="btn btn-sm btn-outline-info">
+                                <i class="fas fa-sync"></i> Check Status
+                            </button>
+                        </form>
+
+                        @if (Model.DiscoveryStatus == "Initialized" || Model.DiscoveryStatus == "Configured")
+                        {
+                            <a href="/Admin/Bots/RepushConfig/@Model.Id" class="btn btn-sm btn-outline-warning">
+                                <i class="fas fa-upload"></i> Re-push Config
+                            </a>
+                        }
+                    </div>
+                </div>
+            </div>
+        }
+
         <div class="card mb-3">
             <div class="card-header">
                 <h5 class="mb-0">30-Day Metrics Summary</h5>