fix: Show conflict resolution agents in HQ dashboard

getHeadquartersDashboard had no section for active conflict agents,
so initiatives with a running conflict-* agent disappeared from all
HQ sections. Add resolvingConflicts array to surface them.

apps/server/test/unit/headquarters.test.ts

@@ -108,6 +108,7 @@ describe('getHeadquartersDashboard', () => {
     expect(result.pendingReviewInitiatives).toEqual([]);
     expect(result.pendingReviewPhases).toEqual([]);
     expect(result.planningInitiatives).toEqual([]);
+    expect(result.resolvingConflicts).toEqual([]);
     expect(result.blockedPhases).toEqual([]);
   });
 
@@ -291,6 +292,115 @@ describe('getHeadquartersDashboard', () => {
     expect(item.lastMessage).toBeNull();
   });
 
+  it('resolvingConflicts — running conflict agent appears', async () => {
+    const agents = new MockAgentManager();
+    const ctx = makeCtx(agents);
+    const initiativeRepo = ctx.initiativeRepository!;
+    const initiative = await initiativeRepo.create({ name: 'Conflicting Init', status: 'active' });
+
+    agents.addAgent({
+      id: 'agent-conflict',
+      name: 'conflict-1234567890',
+      status: 'running',
+      initiativeId: initiative.id,
+      userDismissedAt: null,
+      updatedAt: new Date('2025-06-01T12:00:00Z'),
+    });
+
+    const caller = createCaller(ctx);
+    const result = await caller.getHeadquartersDashboard();
+
+    expect(result.resolvingConflicts).toHaveLength(1);
+    const item = result.resolvingConflicts[0];
+    expect(item.initiativeId).toBe(initiative.id);
+    expect(item.initiativeName).toBe('Conflicting Init');
+    expect(item.agentId).toBe('agent-conflict');
+    expect(item.agentName).toBe('conflict-1234567890');
+    expect(item.agentStatus).toBe('running');
+  });
+
+  it('resolvingConflicts — waiting_for_input conflict agent appears', async () => {
+    const agents = new MockAgentManager();
+    const ctx = makeCtx(agents);
+    const initiativeRepo = ctx.initiativeRepository!;
+    const initiative = await initiativeRepo.create({ name: 'Conflicting Init', status: 'active' });
+
+    agents.addAgent({
+      id: 'agent-conflict',
+      name: 'conflict-1234567890',
+      status: 'waiting_for_input',
+      initiativeId: initiative.id,
+      userDismissedAt: null,
+      updatedAt: new Date('2025-06-01T12:00:00Z'),
+    });
+
+    const caller = createCaller(ctx);
+    const result = await caller.getHeadquartersDashboard();
+
+    expect(result.resolvingConflicts).toHaveLength(1);
+    expect(result.resolvingConflicts[0].agentStatus).toBe('waiting_for_input');
+  });
+
+  it('resolvingConflicts — dismissed conflict agent is excluded', async () => {
+    const agents = new MockAgentManager();
+    const ctx = makeCtx(agents);
+    const initiativeRepo = ctx.initiativeRepository!;
+    const initiative = await initiativeRepo.create({ name: 'Conflicting Init', status: 'active' });
+
+    agents.addAgent({
+      id: 'agent-conflict',
+      name: 'conflict-1234567890',
+      status: 'running',
+      initiativeId: initiative.id,
+      userDismissedAt: new Date(),
+    });
+
+    const caller = createCaller(ctx);
+    const result = await caller.getHeadquartersDashboard();
+
+    expect(result.resolvingConflicts).toEqual([]);
+  });
+
+  it('resolvingConflicts — idle conflict agent is excluded', async () => {
+    const agents = new MockAgentManager();
+    const ctx = makeCtx(agents);
+    const initiativeRepo = ctx.initiativeRepository!;
+    const initiative = await initiativeRepo.create({ name: 'Conflicting Init', status: 'active' });
+
+    agents.addAgent({
+      id: 'agent-conflict',
+      name: 'conflict-1234567890',
+      status: 'idle',
+      initiativeId: initiative.id,
+      userDismissedAt: null,
+    });
+
+    const caller = createCaller(ctx);
+    const result = await caller.getHeadquartersDashboard();
+
+    expect(result.resolvingConflicts).toEqual([]);
+  });
+
+  it('resolvingConflicts — non-conflict agent is excluded', async () => {
+    const agents = new MockAgentManager();
+    const ctx = makeCtx(agents);
+    const initiativeRepo = ctx.initiativeRepository!;
+    const initiative = await initiativeRepo.create({ name: 'Some Init', status: 'active' });
+
+    agents.addAgent({
+      id: 'agent-regular',
+      name: 'regular-agent',
+      status: 'running',
+      initiativeId: initiative.id,
+      userDismissedAt: null,
+    });
+
+    const caller = createCaller(ctx);
+    const result = await caller.getHeadquartersDashboard();
+
+    expect(result.resolvingConflicts).toEqual([]);
+  });
+
   it('ordering — waitingForInput sorted oldest first', async () => {
     const agents = new MockAgentManager();
     const ctx = makeCtx(agents);