refactor: Restructure monorepo to apps/server/ and apps/web/ layout

Move src/ → apps/server/ and packages/web/ → apps/web/ to adopt
standard monorepo conventions (apps/ for runnable apps, packages/
for reusable libraries). Update all config files, shared package
imports, test fixtures, and documentation to reflect new paths.

Key fixes:
- Update workspace config to ["apps/*", "packages/*"]
- Update tsconfig.json rootDir/include for apps/server/
- Add apps/web/** to vitest exclude list
- Update drizzle.config.ts schema path
- Fix ensure-schema.ts migration path detection (3 levels up in dev,
  2 levels up in dist)
- Fix tests/integration/cli-server.test.ts import paths
- Update packages/shared imports to apps/server/ paths
- Update all docs/ files with new paths

apps/server/trpc/routers/coordination.ts

@@ -0,0 +1,41 @@
+/**
+ * Coordination Router — merge queue operations
+ */
+
+import { z } from 'zod';
+import type { ProcedureBuilder } from '../trpc.js';
+import { requireCoordinationManager } from './_helpers.js';
+
+export function coordinationProcedures(publicProcedure: ProcedureBuilder) {
+  return {
+    queueMerge: publicProcedure
+      .input(z.object({ taskId: z.string().min(1) }))
+      .mutation(async ({ ctx, input }) => {
+        const coordinationManager = requireCoordinationManager(ctx);
+        await coordinationManager.queueMerge(input.taskId);
+        return { success: true };
+      }),
+
+    processMerges: publicProcedure
+      .input(z.object({
+        targetBranch: z.string().default('main'),
+      }))
+      .mutation(async ({ ctx, input }) => {
+        const coordinationManager = requireCoordinationManager(ctx);
+        const results = await coordinationManager.processMerges(input.targetBranch);
+        return { results };
+      }),
+
+    getMergeQueueStatus: publicProcedure
+      .query(async ({ ctx }) => {
+        const coordinationManager = requireCoordinationManager(ctx);
+        return coordinationManager.getQueueState();
+      }),
+
+    getNextMergeable: publicProcedure
+      .query(async ({ ctx }) => {
+        const coordinationManager = requireCoordinationManager(ctx);
+        return coordinationManager.getNextMergeable();
+      }),
+  };
+}