feat: Show project pills on initiative cards in list view

Add projects to the listInitiatives tRPC response and render them as
outline badge pills between the initiative name and activity row.

apps/server/trpc/routers/initiative.ts

@@ -140,16 +140,31 @@ export function initiativeProcedures(publicProcedure: ProcedureBuilder) {
           )
           .map(a => ({ initiativeId: a.initiativeId ?? '', mode: a.mode ?? '', status: a.status }));
 
+        // Batch-fetch projects for all initiatives
+        const projectRepo = ctx.projectRepository;
+        const projectsByInitiativeId = new Map<string, Array<{ id: string; name: string }>>();
+        if (projectRepo) {
+          await Promise.all(initiatives.map(async (init) => {
+            const projects = await projectRepo.findProjectsByInitiativeId(init.id);
+            projectsByInitiativeId.set(init.id, projects.map(p => ({ id: p.id, name: p.name })));
+          }));
+        }
+
+        const addProjects = (init: typeof initiatives[0]) => ({
+          projects: projectsByInitiativeId.get(init.id) ?? [],
+        });
+
         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, activeArchitectAgents) };
+            return { ...init, ...addProjects(init), activity: deriveInitiativeActivity(init, phases, activeArchitectAgents) };
           }));
         }
 
         return initiatives.map(init => ({
           ...init,
+          ...addProjects(init),
           activity: deriveInitiativeActivity(init, [], activeArchitectAgents),
         }));
       }),