feat: Replace initiative card N+1 queries with server-computed activity indicator

listInitiatives now returns an activity object (state, activePhase, phase
counts) derived server-side from phases, eliminating per-card listPhases
queries. Initiative cards show a StatusDot with pulse animation + label
instead of a static StatusBadge. Removed redundant View and Spawn Architect
buttons from cards. Added variant override prop to StatusDot.

apps/server/trpc/routers/initiative.ts

@@ -6,6 +6,7 @@ import { TRPCError } from '@trpc/server';
 import { z } from 'zod';
 import type { ProcedureBuilder } from '../trpc.js';
 import { requireInitiativeRepository, requireProjectRepository, requireTaskRepository } from './_helpers.js';
+import { deriveInitiativeActivity } from './initiative-activity.js';
 
 export function initiativeProcedures(publicProcedure: ProcedureBuilder) {
   return {
@@ -63,10 +64,22 @@ export function initiativeProcedures(publicProcedure: ProcedureBuilder) {
       }).optional())
       .query(async ({ ctx, input }) => {
         const repo = requireInitiativeRepository(ctx);
-        if (input?.status) {
-          return repo.findByStatus(input.status);
+        const initiatives = input?.status
+          ? await repo.findByStatus(input.status)
+          : await repo.findAll();
+
+        if (ctx.phaseRepository) {
+          const phaseRepo = ctx.phaseRepository;
+          return Promise.all(initiatives.map(async (init) => {
+            const phases = await phaseRepo.findByInitiativeId(init.id);
+            return { ...init, activity: deriveInitiativeActivity(init, phases) };
+          }));
         }
-        return repo.findAll();
+
+        return initiatives.map(init => ({
+          ...init,
+          activity: deriveInitiativeActivity(init, []),
+        }));
       }),
 
     getInitiative: publicProcedure