feat: add GlitchTip error monitoring integration

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-Claude)

Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>

apps/web/next.config.mjs

@@ -1,7 +1,13 @@
+import { withSentryConfig } from "@sentry/nextjs";
+
 /** @type {import('next').NextConfig} */
 const config = {
   transpilePackages: ["@codeboard/shared", "@codeboard/database"],
   output: "standalone",
 };
 
-export default config;
+export default withSentryConfig(config, {
+  silent: !process.env.CI,
+  disableServerWebpackPlugin: true,
+  disableClientWebpackPlugin: true,
+});