feat: implement Agent Chat Widget for entity pages

TASK_PHASE_AGENT_CHAT_WIDGET_MVP.md completed:

Backend:
- Add /api/v1/agents/{agent_id}/chat-room endpoint
- Add /api/v1/nodes/{node_id}/chat-room endpoint
- Add /api/v1/microdaos/{slug}/chat-room endpoint

Frontend:
- Create AgentChatWidget.tsx floating chat component
- Integrate into /agents/:agentId page
- Integrate into /nodes/:nodeId page
- Integrate into /microdao/:slug page

Ontology rule implemented:
'No page without agents' = ability to directly talk to agents on that page

apps/web/src/app/agents/[agentId]/page.tsx

@@ -21,6 +21,7 @@ import { updateAgentVisibility, AgentVisibilityUpdate } from '@/lib/api/agents';
 import { ensureOrchestratorRoom } from '@/lib/api/microdao';
 import { Bot, Settings, FileText, Building2, Cpu, MessageSquare, BarChart3, Users, Globe, Lock, Eye, EyeOff, ChevronLeft, Loader2, MessageCircle, PlusCircle } from 'lucide-react';
 import { CityChatWidget } from '@/components/city/CityChatWidget';
+import { AgentChatWidget } from '@/components/chat/AgentChatWidget';
 import { Button } from '@/components/ui/button';
 
 // Tab types
@@ -664,6 +665,9 @@ export default function AgentConsolePage() {
           </div>
         )}
       </div>
+      
+      {/* Floating Chat Widget */}
+      <AgentChatWidget contextType="agent" contextId={agentId} />
     </div>
   );
 }

apps/web/src/app/microdao/[slug]/page.tsx

@@ -9,6 +9,7 @@ import { MicrodaoRoomsSection } from "@/components/microdao/MicrodaoRoomsSection
 import { MicrodaoRoomsAdminPanel } from "@/components/microdao/MicrodaoRoomsAdminPanel";
 import { ChevronLeft, Users, MessageSquare, Crown, Building2, Globe, Lock, Layers, BarChart3, Bot, MessageCircle } from "lucide-react";
 import { CityChatWidget } from "@/components/city/CityChatWidget";
+import { AgentChatWidget } from "@/components/chat/AgentChatWidget";
 import { ensureOrchestratorRoom } from "@/lib/api/microdao";
 
 export default function MicrodaoDetailPage() {
@@ -398,6 +399,9 @@ export default function MicrodaoDetailPage() {
           </div>
         )}
       </div>
+      
+      {/* Floating Chat Widget */}
+      <AgentChatWidget contextType="microdao" contextId={slug} />
     </div>
   );
 }

apps/web/src/app/nodes/[nodeId]/page.tsx

@@ -15,6 +15,7 @@ import {
   NodeStandardComplianceCard
 } from '@/components/node-dashboard';
 import { NodeGuardianCard } from '@/components/nodes/NodeGuardianCard';
+import { AgentChatWidget } from '@/components/chat/AgentChatWidget';
 
 function getNodeLabel(nodeId: string): string {
   if (nodeId.includes('node-1')) return 'НОДА1';
@@ -182,6 +183,9 @@ export default function NodeCabinetPage() {
           </div>
         </div>
       </div>
+      
+      {/* Floating Chat Widget */}
+      <AgentChatWidget contextType="node" contextId={nodeId} />
     );
   }
 
@@ -337,6 +341,9 @@ export default function NodeCabinetPage() {
           <ExternalLink className="w-3 h-3" />
         </Link>
       </div>
+      
+      {/* Floating Chat Widget */}
+      <AgentChatWidget contextType="node" contextId={nodeId} />
     </div>
   );
 }