feat: add MCP server for AI agent integration

Adds a Streamable HTTP MCP server at /mcp that exposes 19 tools
covering rundown entries, rundown management, runtime state, project
info, automations, and custom fields. Includes Bearer token auth
support and a UI card in Settings > Sharing showing the endpoint URL
and Claude Desktop config.

https://claude.ai/code/session_01U24MeuUacYXeQhbX3tatEe

apps/server/src/app.ts

@@ -13,6 +13,7 @@ import { socket } from './adapters/WebsocketAdapter.js';
 // Import Routers
 import { appRouter } from './api-data/index.js';
 import { integrationRouter } from './api-integration/integration.router.js';
+import { mcpRouter } from './api-mcp/mcp.router.js';
 import { flushPendingWrites, getDataProvider } from './classes/data-provider/DataProvider.js';
 // Services
 import { logger } from './classes/Logger.js';
@@ -100,6 +101,7 @@ app.get(`${prefix}/ready`, (_req, res) => {
 app.use(`${prefix}/login`, loginRouter); // router for login flow
 app.use(`${prefix}/data`, authenticate, appRouter); // router for application data
 app.use(`${prefix}/api`, authenticate, integrationRouter); // router for integrations
+app.use(`${prefix}/mcp`, authenticate, mcpRouter); // router for MCP agent integration
 
 // serve static external files
 app.use(