fix: replace require() with dynamic import() for analytics modules

PostHog and Sentry were silently disabled in production Docker builds.
The app runs as ESM ("type": "module") via tsx, where require() is not
defined. The catch blocks swallowed the ReferenceError, leaving both
clients as null. Switch to await import() and store the Sentry module
reference for use in the error handler.

apps/api/src/index.ts

@@ -8,7 +8,7 @@ import Fastify from "fastify";
 import { env } from "./config.js";
 import { db, schema } from "./db/index.js";
 import { runMigrations } from "./db/migrate.js";
-import { initAnalytics, shutdownAnalytics } from "./lib/analytics.js";
+import { captureException, initAnalytics, shutdownAnalytics } from "./lib/analytics.js";
 import { startCleanupCron } from "./lib/cleanup.js";
 import { ensureAiDirs, recoverInterruptedInstalls } from "./lib/feature-status.js";
 import { shutdownWorkerPool } from "./lib/worker-pool.js";
@@ -53,7 +53,7 @@ function ensureInstanceId() {
 }
 
 ensureInstanceId();
-initAnalytics();
+await initAnalytics();
 
 // Mark any jobs left in processing/queued from a previous unclean shutdown
 recoverStaleJobs();
@@ -75,12 +75,7 @@ app.setErrorHandler((error: Error & { statusCode?: number }, request, reply) =>
     { err: error, url: request.url, method: request.method },
     "Unhandled request error",
   );
-  try {
-    const Sentry = require("@sentry/node") as typeof import("@sentry/node");
-    Sentry.captureException(error);
-  } catch {
-    // Sentry not available
-  }
+  captureException(error);
   const isProduction = process.env.NODE_ENV === "production";
   reply.status(statusCode).send({
     error: statusCode >= 500 ? "Internal server error" : error.message,